Well, I think at this point I would delete the child and re-enter them. The symptom of not popping up in the list of eligible dependents for the childcare credit, of not getting the $2000 credit, and not getting the recovery rebate, would be associated with either failing to enter a valid SSN or entering the wrong birth date that makes the child too old to qualify. So I would delete the child and start over, and see if that clears it up.
(One thing to watch out for is that Turbotax will sometimes auto-complete dates in a funny way. You might have got the year wrong. Type the date in full, "08/19/2020".)
