I am not sure but I think there are 2 teams, actually more than two, because Steve Rogers (instead of something like SHIELD or HAMMER) is making all the heroes agents. So its like SHIELD was replaced by the Avengers and all the Avengers on the various teams are agents. The Heroes are policing the world now, which is why Cage had a problem with Steve's offer.
" Why do the new Avengers get the Mansion and not the proper team? Also what is the point of having two Avenger teams in the one area since the new Avengers are now legit "
About the Mansion, I think they are just trying to bring back things that people miss and loved.
I feel like they are trying to bring some fun back to the Avengers comics. Thats why I like the Heroic Age, it feels fun.