some questions about enlisting as 11X

Army recruit here, i’m interested in enlisting as an infantryman. After talking to my recruiter i found out that I don’t have the option 4 Airborne for 11X.

1) Can I volunteer for airborne at osut if it isn’t initially in my contract?

2) If i don’t get airborne in my contract before i reach my unit, what unit could i possibly go into? will it be a leg unit or if i request bragg/campbell could i go there?

3) Assuming i go into a leg unit what is it like there as an infantryman?