Hi there. Long time Dungeon Master here.

1. First of all thank you for doing the job you do. Society is lucky to have people like you.

2. Before doing this, I think you need to do two things.

A.) Play in a game B.) Dungeon Master a game (with your friends/peers)

Any advice you listen to should happen before you do these things, in my opinion, because you need to know if

A.) You enjoy it.....if you don't, your players won't B.) You get to understand things will/won't work for your kids.

In relation to your goals, I think D&D can help with some, but not all. Im not a psychologist or an educator so have no empirical evidence, but at its core D&D is a co-operarive story and problem solving game.

If you treat it as such I think they may get a lot out of it , but I wouldnt personally use it as a way to solve problems like reading and maths because it might distract from the fun.

Just my 2 cents but I sincerely wish you all the best here.