idk why they do it that way haha. Enjoy your team! :) I don't think your team has a theme though. I started breeding a lot of different stuff and lost track of keeping a theme, so you just kinda have...random stuff. :P
It's okay, lol. I never got to trade in gen IV. Uhh, go to the screen thingie and seek a trade. Then I'll talk to your character and see if that works.