Hi,
1) yes it can send midi ccs, from 2d touch mode or song mode
2) it has a custom screen where you can put what you want. It's not reflecting the axefx perf mode actually because it existed before the perf mode was created. But i plan to include the axefx perf mode too
3) I guess what you ask is something between song mode and custom screen. Custom Screen has various buttons types, give it a run to see if it fits your needs, or make suggestions
Yoy can try fracpad for free on windows or Mac, so i guess it's the best way for you to see what it can do
Feel free to pm me once you'll have tried it to discuss about your needs if not fulfilled
Cheers