No. A vehicle used to commute back and forth to work is considered a personal use vehicle. Losses and thefts for personal use property are not deductible.
No, you cannot file an extension now. It had to be filed by April 15th or 17th for those in MA and ME.
At this point, the best thing to do is to file your return as soon as possible. If you are getting a refund, there is no penalty. If you owe, then filing now will minimize any penalties you may incur.