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No, you can recruit any of the Pokémons from the dojo. Even the evolved forms, however they have an extremely low recruitment rate even if your lead Pokémon is Level 90+ with a Friend Bow. http://www.serebiiforums.com/showthread.php?p=4730702#post4730702
Check this thread. This only applies on the Boss Floor.
Yes, you can - the drawback is you can only recruit the bosses, and the only bosses you can recruit are the ones from the "Team" Mazes. I recruited a Nuzleaf and Graveler by going in to Shiftry's and Golem's dungeons