A:AnswerYes it does, gas & brake. If you want a third pedal for clutch you can buy metal ones as an upgrade and they will work since they use the same style plug.
A:AnswerIt's sad that no one could give you a proper answer lol it depends on the game. I think most games will let you assign a button to your throttle and brake but not all. TBH sadly, I don't think forza will if you're playing on xbox. I could be wrong but I thought I remember those games not having fully customizable button mapping. I think it only has presets and I bet none of the presets let you control throttle /brake with buttons since it's a wheel. If it was a controller, definitely, but I doubt the wheel presets have that option but maybe.
Anything on PC would be fine though, or you'd have some sort of workarounds like steam button mapping and stuff like that. Plus Forza for example has custom button mapping on the PC version, just not on xbox (which is really stupid btw)