Hi Robert!

I've taken a crack at what I think you need. It was a little hard to tell from your description, but I think what you were saying you need is to add checkbox options and radio select options to each row that is returned? (If this is information that needs to be saved, then instead of using a wrapper class, you will need to add them as fields on the objects, which you can then call as normal.) 

I've commented in each place where I've added something your originals:

public with sharing class AllOppsearchClass
{
  	public List<Lead> leadList {get; set;}
  	public List<Opportunity> optyList {get; set;}
  	public String searchStr {get; set;}

  	// lists for the results
  	public List<LeadResultWrapper> leadResults {get; set;}
  	public List<OpportunityResultWrapper> opportunityResults {get; set;}

  	// a list for each set of radio button options you need
 	public List<SelectOption> radioOptions {get; set;}
 	public List<SelectOption> radioOptions2 {get; set;}

  	public AllOppsearchClass()
  	{ 
  		// call the function to set the options for the radio buttons on page load
  		setRadioOptions();
  	}

	public AllOppsearchClass(ApexPages.StandardController stdController)
	{ }
 
	public void soslDemo_method()
	{
    	leadList = New List<Lead>();
    	optyList = New List<Opportunity>();

    	// instantiate the result lists
    	leadResults = new List<LeadResultWrapper>();
    	opportunityResults = new List<OpportunityResultWrapper>();

    	if(searchStr.length() > 1)
    	{
		    String searchStr1 = '*'+searchStr+'*';
		    String searchQuery = 'FIND \'' + searchStr1 + '\' IN ALL FIELDS RETURNING  Lead (Id,Name,Owner_Name__c,Email,metro__c,Last_Comment__c,statusname__c,Listing_MLS__c,last_update_date__c,date_entered_into_Lead_router__c,listing_amount__c,listing_agent__c,referral_fee__c,last_activity_subject__c),Opportunity(Id,Name,Account_Email__c,Opportunity_EMail__c,metro__c,Last_Comment__c,statusname__c,Owner_Name__c,last_update_date__c,date_entered_into_Lead_router__c,listing_amount__c,listing_agent__c,agent__c,referral_fee__c,last_activity_subject__c)';
		    List<List <sObject>> searchList = search.query(searchQuery);
		    leadList = ((List<Lead>)searchList[0]);
		    optyList = ((List<Opportunity>)searchList[1]);
      		if(leadList.size() == 0 && optyList.size() == 0)
    		{
        		apexPages.addmessage(new apexpages.message(apexpages.severity.Error, 'Sorry, no results returned with matching string..'));
        		return;
    		}

    		// take the contents of the object lists and add them into the result wrapper lists
    		for (Lead l : leadList) leadResults.add(new LeadResultWrapper(l));
    		for (Opportunity o : optyList) opportunityResults.add(new OpportunityResultWrapper(o));
    	}
    	else
    	{
      		apexPages.addmessage(new apexpages.message(apexpages.severity.Error, 'Please enter at least two characters..'));
      		return;
  		}
	}

	private void setRadioOptions()
	{
		// instantiate the first radio option set, and fill with options
		radioOptions = new List<SelectOption>();
		radioOptions.add(new SelectOption('Option Value 1','Option Label 1'));
		radioOptions.add(new SelectOption('Option Value 2','Option Label 2'));

		// instantiate the second radio option set, and fill with options
		radioOptions2 = new List<SelectOption>();
		radioOptions2.add(new SelectOption('Option Value 1','Option Label 1'));
		radioOptions2.add(new SelectOption('Option Value 2','Option Label 2'));
	}

  	public class LeadResultWrapper
  	{
    	public Lead l {get; set;}
    	// a boolean variable for each checkbox item you need
    	public Boolean checkboxOption {get; set;}
    	public Boolean checkboxOption2 {get; set;}
    	// a string variable for each radio select option set
    	public String radioOption {get; set;}
    	public String radioOption2 {get; set;}

    	public LeadResultWrapper(Lead lIn)
    	{ 
    		// assign the record from the inital sosl query row and set checkbox options to FALSE
    		l = lIn; 
    		checkboxOption = checkboxOption2 = FALSE;
    	}
  	}

    public class OpportunityResultWrapper
    {
        public Opportunity o {get; set;}
    	// a boolean variable for each checkbox item you need
    	public Boolean checkboxOption {get; set;}
    	public Boolean checkboxOption2 {get; set;}
    	// a string variable for each radio select option set
    	public String radioOption {get; set;}
    	public String radioOption2 {get; set;}

        public OpportunityResultWrapper(Opportunity oIn)
    	{ 
    		// assign the record from the inital sosl query row and set checkbox options to FALSE
    		o = oIn;
    		checkboxOption = checkboxOption2 = FALSE;
    	}
  	}
}

<apex:page standardcontroller="Lead" extensions="AllOppsearchClass">
    <apex:form >
        <apex:inputText value="{!searchStr}"/>
        <apex:commandButton value="Search in Lead, Opportunity" action="{!soslDemo_method}" reRender="lead,error,oppt" status="actStatusId" />
        <apex:actionStatus id="actStatusId">
                <apex:facet name="start" >
                    <img src="/img/loading.gif"/>                    
                </apex:facet>
        </apex:actionStatus>
    </apex:form>
 
    <apex:outputPanel title="" id="error">
        <apex:pageMessages></apex:pageMessages>
    </apex:outputPanel>

    <!-- opportunity results; note that because we've placed the Opportunity record inside of the wrapper, we call down the object hierarchy -->
    <apex:pageBlock title="Opportunities" id="oppt">
        <apex:pageblockTable value="{!opportunityResults}" var="opty">
            <apex:column headervalue="Name">
                <apex:outputLink value="/{!opty.ID}" target="_blank">{!opty.name}</apex:outputLink>
            </apex:column>
            <apex:column value="{!opty.o.Account_Email__c}"/>
            <apex:column value="{!opty.o.Metro__c}"/>
            <apex:column value="{!opty.o.Owner_Name__c}"/>
            <apex:column value="{!opty.o.StatusName__c}"/>
            <apex:column value="{!opty.o.Date_Entered_Into_Lead_Router__c}"/>
            <apex:column value="{!opty.o.Last_Update_Date__c}"/>     
            <apex:column value="{!opty.o.Listing_Amount__c}"/>
            <apex:column value="{!opty.o.Listing_Agent__c}"/>
            <apex:column value="{!opty.o.Agent__c}"/>
            <apex:column value="{!opty.o.Referral_Fee__c}"/>
            <apex:column value="{!opty.o.Last_Comment__c}"/>

            <!-- add a column for each radio option field -->
            <apex:column>
                <apex:selectRadio value="{opty.radioOption}">
                    <apex:selectOptions value="{radioOptions}" />
                </apex:selectRadio>
            </apex:column>
            <apex:column>
                <apex:selectRadio value="{opty.radioOption2}">
                    <apex:selectOptions value="{radioOptions2}" />
                </apex:selectRadio>
            </apex:column>
            <!-- add a column for each checkbox option field -->
            <apex:column>
                <apex:inputCheckbox value="{!opty.checkboxOption}" />
            </apex:column>
            <apex:column>
                <apex:inputCheckbox value="{!opty.checkboxOption2}" />
            </apex:column>
        </apex:pageblockTable>
    </apex:pageBlock>
 
    <!-- lead results; note that because we've placed the Lead record inside of the wrapper, we call down the object hierarchy -->
    <apex:pageBlock title="Leads" id="lead">
        <apex:pageblockTable value="{!leadResults}" var="lead">
            <apex:column headervalue="Name">
                <apex:outputLink value="/{!lead.ID}" target="_blank">{!lead.name}</apex:outputLink>
            </apex:column>
            <apex:column value="{!lead.l.email}"/>
            <apex:column value="{!lead.l.Metro__c}"/>
            <apex:column value="{!lead.l.Owner_Name__c}"/>
            <apex:column value="{!lead.l.StatusName__c}"/>
            <apex:column value="{!lead.l.Date_Entered_Into_Lead_Router__c}"/>
            <apex:column value="{!lead.l.Last_Update_Date__c}"/>
            <apex:column value="{!lead.l.Listing_Amount__c}"/>
            <apex:column value="{!lead.l.Listing_MLS__c}"/>
            <apex:column value="{!lead.l.Listing_Agent__c}"/>
            <apex:column value="{!lead.l.Referral_Fee__c}"/>
            <apex:column value="{!lead.l.Last_Comment__c}"/>

            <!-- add a column for each radio option field -->
            <apex:column>
                <apex:selectRadio value="{lead.radioOption}">
                    <apex:selectOptions value="{radioOptions}" />
                </apex:selectRadio>
            </apex:column>
            <apex:column>
                <apex:selectRadio value="{lead.radioOption2}">
                    <apex:selectOptions value="{radioOptions2}" />
                </apex:selectRadio>
            </apex:column>
            <!-- add a column for each checkbox option field -->
            <apex:column>
                <apex:inputCheckbox value="{!opty.checkboxOption}" />
            </apex:column>
            <apex:column>
                <apex:inputCheckbox value="{!opty.checkboxOption2}" />
            </apex:column>
        </apex:pageblockTable>
    </apex:pageBlock>
</apex:page>