Yes, you should send a follow up email. (I hope this goes without saying, but your follow up email should use standard punctuation and grammar, rather than the way you write here.) Send it to both teachers if you can find the email address for her "backup." Thank them for the productive meeting, and say that you are just describing what was decided, so that you can be sure that you understand it. Lay out the requirements as you understand them - what he is expected to do, and what you are expected to submit, subject by subject. If you want to post it here first and get critiques, I'm sure that many of us will be happy to help.
