YES!! If nothing else, at least alert your bank and put a stop on any transactions initiated by that party. But, I would change everything. From experience, it's easier to prevent identity theft than to pick up the pieces afterwards.

Did any of you guys post your resume on a job seeking site? I got the same e-mail and was thinking maybe that's how they got my resume?

Thank you for posting this comments. It save me from continuing with that scam

If you are applying for a job, naturally you are going to make your resume public for all to see.  That's how they get it.  I got the same message.  No one offers anyone a job until they interview.  Of course you will know right away it's a scam.

Just got that email and new the number was fishy.