Definitely need to talk to your lawyer - but just take a deep breathe in the meantime. These are all just demands he is making and quite frankly they seem unreasonable and unlikely to me, but then again that is what your lawyer is for.
Don't necessarily think you have to "fold" on the child tax credit thing. Each state is different of course but by and large I think the credit is the custodial parent's unless they agree to give it to the non-custodial parent. Again your lawyer will help you sort this stuff out.
It's a bit obvious and sad that your H is simply trying to stipulate more visitation time in order to lesson his child support obligation.