I have been looking at other posts for my questions on how Apex batch works when there is an Error. Somehow I am not able to clear my self. I have couple of questions. Can someone please clarify.

1. Assume a batch process has 3 iterations processing 200 records each. The batch process is doing an insert and I am using Database.Insert with AllorNone parameter set to False. Assume there was an error during the second iteration while processing 101 record.I understand that all the records in the first iteration will be committed and also the 100 records in the second iteration. My question is will the batch process continue to process other records in the second iteration and also the third iteration.

2. Assume all the 3 iterations (execute method) completed without any error but some error occured in the Finish method. Finish method just sends an email. How does this work, considering that I am using Database.Insert and AllorNone parameter set to False. My understanding is that all the records will be committed to the database but user will not be receiving email that the batch was successfull or not. I am confused how this scenario will work in the real time.