I beat the game too. And the Ranger Net Missions. Just not the Manaphy Mission. Still waiting for it. I'm still working on the browser.
I carry Friend Pokemon every where I go now too. I'm guessing the one Friend Pokemon I carry every where is easy to figure out. Other Friend Pokemon I like to take with every now & then is Eevee Evolutions, Starters(Bulbasuar, etc.), Starters Last Evolution(Venasaur, etc.), Meowth, and some others.