Should i continue full squats and do some half/qtr squats?
Yes. Squat, whether it's full, half, front, BSS or whatever you like and you're good at.
and should i worry about the body fat ~25% after i get stronger. my current full squat is 310.
Yes.
Best thing anyone can do for their athleticism is to reduce their bodyfat down to their essential bodyfat (thanks t0dday). Which means ~10% bodyfat. Most people have no idea how much weight they'd actually need to lose to get down to a legit 10%. Especially for those over 15%, they're probably underestimating big time. If you're 25% then you're too heavy to be athletic and that would be a priority for you if you care about athleticism. I'd even say that dialing in your kitchen game is going to do more for your athleticism than anything you do in the gym.
Yup^^^
Also it depends on what kind of "jumping guy" you are. If you want immediate results, start cutting now and trying to maintain strength. Once you get to 10-12% bodyfat start getting stronger again. You should see your vert going up. If you're a guy who's thinking long-term, continue strength training dispite being fat and think to the future.
If I remember right Kelly was saying it's better to cut now and THEN start gaining strength if you're a fatass. That makes it safer to use plyos as well.
By the way - you're going to improve plyometrically cutting fat but make sure you get your calves stronger in the meantime.