I have the following configuration set  and still Email and Task buttons not showing in the chatter lightning Lead Object:

1- Deliverability = All Emails

2- Task Has a record type

3- Feed Tracking is turned On for Lead Object

4- I have add Email and Task button on the Lead page layout in both sections 'Salesforce Mobile and Lightning Experience Actions' and 'Quick Actions in the Salesforce Classic Publisher' ,
 and made sure that im viewing the right page layouts

5- I add Email and Task button to the Global Publisher Layout in both sections 'Salesforce Mobile and Lightning Experience Actions' and 'Quick Actions in the Salesforce Classic Publisher'

6- I do have Chatter Settings -> Enable Actions in the Publisher -> set to true

here screen shots    







but nothing is working