I would also work on
Front tucks - trampoline, tumble trak or off a vaulting board
Lots of handstands, most wont hold it well yet, but this would be the goal
Press to handstands
Walkovers
Handstand blocking
Round off's
The first stages of kips
Back handsprings on trampoline and tumble track
Handstands on beam
Aussie coach has pretty much covered it, but if I may I'd like to add a few things you can do at home while you're not in the gym:
FLEXIBILITY, this is, in my opinion, one of the most important things required for team (another being handstands). One thing I tell ALL of my pre-team students is to work flexibility at home. While you're watching TV or doing homework, sit in a straddle, left and right-leg splits and any other stretches you do in warm-up. You may want to ask your coach what stretches would be best for you to work on during the week.
Also I would add bridges, and if your coach (and parents) say it's ok to do on your own, backbends. Bridges are easy to do on your own as they require no matting, and if you have a solid backbend doing them on the carpet is fine, but as I said, ASK YOUR COACH AND PARENTS first!
Just two things on a long list of requirements, but ones I believe are very important!
*edit* Sorry Aussie I didn't see that you had talked about flexibility in the first half of your post, my apologies!