What are the different Madden modes?

MUT draft is a mode where you get to select (draft) players to make your own team. Once you do that, you can either play against others or the CPU. This does not include your actual MUT team but does include MUT cards. I don't think there's a chat box. House rules is essentially a shorter H2H that gives out pretty good rewards (this promo's one gives small and medium eggs). H2H is where you put your ultimate team against other player's ultimate teams, and MUT champs is essentially the same thing but with better players and rewards.

Hope this helps!