I would let your lawyer know about your conversation with the teachers. Get copies of the grade sheet that has been going to his house. That should be powerful ammo against his weekday custody pleas. Good job on not disparaging him to the teachers. If need be, at least they can document your concern and his lack of participation. Our high school usually does a one night come visit the teachers night. Check with the school. You can meet with each teacher but have to stand in line with the other parents. It makes for a long night and sometimes you can't get in to everyone so start with the really important ones if that's what your school does.
Speaking of school. I thought the plan was to reassess how public school is working before the hearing. I would say it's not working that well given his lack of communication and support for classroom work.
Don't respond to the job email. You and your L know that you're working on employment. It wouldn't hurt to document where you've applied and interviewed though in case you need it later.
