What sport sounds like it be best for me?

Definitely go for gymnastics!

Maybe the sport i do...Gymnastics

this sounds good for you because there isn't TOO much running, and when you run in this sport, you're only doing it for 2 seconds. Upper Body strength is very important in gymnastics. And even if you're not flexible, you will get flexible if you do this sport, i wasn't until i got into gymnastics. I can do all my splits now and my back is so flexible.

What about tennis or ping pong? Volley?

basketball or netball

you could try chess, it's fun. or traditional martial art like Silat or kungfu.

Golfing.

Try Fencing (sword fighting)
It's a hard sport but it's really fun. It doesn't take much flexability but it does take focus, stamina, and a quick moving. There isn't running involved but the quick movement is to dodge the opponents sword. But you can't step out of the court.
It works muscles you don't usually use.

if u have good upper body strength u shoudl try shot put or discus for track i dont know if they have to actually run or not but youcould find out and you dont have to run for golf.

try a recreational softball team, they're tons of fun without all of the competitive drama, i used to play rec but now i'm in select. it's way more intense, and i would suggest going rec first, since you know it's new, it'd be a great way to meet new people and stay active. if the summer seasons over, try a fall ball team, it's even ten times more laid backk. plus you don't have to be flexible, you barely run, and good upper body strength is perfect..for throwing and swinging the bat, except you still use your legs a tonn.
have fun!

Golf, shot-put, cycling, judo, kayaking, rowing, fencing etc...