sduvinage wrote:... would you think calf and triceps would be equally as important? ...
No, they're not.
You asked what's most important, so you got our opinions on that. Especially at your PR level.
You seem to be implying that you're going to weight train on the "most important" muscles. That's why I said "abs". They're usually the weakest link. If you focus on the abs, you'll strengthen your entire core (which you need to do), but you'll "remove" the weakest link.
Also, please search for and read all the posts re weighlifting in HS. Your training should be excercising the same muscles as in an actual vault. This includes gymnastics (highbar, rings, rope) and sprinting. You don't want to bulk up ... you want to have the lean physique of a highbar specialist.
Pullups ... sure ... for overall conditioning, but they're not that important at your level. I'm willing to bet that you're having trouble getting inverted soon enough ... or fast enough. You need to learn that first ... and you can't do that without STRONG abs ... and a good swing. They go hand-in-hand.
sduvinage wrote: ... Also, should i avoid too many bicep workouts?
Yes. During your plant, you only need to "curl" the pole up and over your head ... so if you're going to do bicep curls, just use the pole as your weight.