I can't speak to 5.3, but on 5.2 the Tier 2 carrier pods(Assaults and Escorts) do carry all 3 types.
With everything unlocked the following stats:
Assaults - ~60 Attack in all 3, ~30 Defense in all 3
Escorts - ~30 Attack in all 3, ~60 Defense in all 3
Though everything with carriers still seems pretty subject to change. The mass of the pods is going up for sure. Don't know if the Attack/Defense stats will be tweaked as well.