In regards to number 2, while I don’t have any Pro tools experience, I’d try looking for a ‘midi learn’ function or equivalent on one of the tracks in Pro tools with the plugin version. If you do have a ‘midi learn’ function of some sort, you would probably need to click on the parameter you want to control within the track or MG2 and then hit one of the buttons to use then save the setting then repeat the process on a second FCB1010 button for a different channel etc.
You also might consider attempting to control the track/MG2 via a different MIDI controller to see if its just the FCB1010 specifically giving you issues, though I do know there are some modifications out there that exist for FCB1010 that could also help.
While I haven’t watched this full video, I think this might give you some ideas. There also looks to be at least some info on Pro Tools setup, starting around 23 minutes in. Behringer FCB1010 Full Tutorial / Video Manual - YouTube
There also looks to be some good FCB1010 info in this thread (not regarding Pro Tools specifically) Mg2 not recognising Behringer FCB1010 - #19 by hermybear2002
And here’s another related thread Want to know if anyone has used the Behringer MIDI Foot Controller FCB1010 with MG2 - #13 by GJNichol