1. Yes it is possible to email a PDF ...here is a post that discusses the issue in great detail. As well I posted a sample
that shows the different ways to do it.
http://forums.adobe.com/message/2262709#2262709
2. The attachment will take on the name of the file that is opened at the time. You woudl have to do a SaveAs operation to rename the file and then do the email. Unfortunately you cannot automate the SaveAs operation fully. It is against security to automate something to that extent without the user knowing about it.
Paul