Does benchpressing make you stop growing?

Yes. Mate I would advise you to swim a lot at your age, as much of every stroke as you can. This will give you good cardio vascualar health AND help your shoulders broaden. Try this MONDAY-SWIM TUESDAY-JOG-30 MINS WENESDAY-REST THURS- RUN FRIDAY SWIM. W/E REST.

Avoid alchohol. Up your calories until you build muscle, don't gain fat.

PLEASE PLEASE PLEASE don't lift weights, i promise you you'll bend your bones, not good.