Helpinghands -- You're getting some good advice. As RC said, lifting weights at age 14 is okay as long as its more light weights, which helps build quickness and gives some muscle definition. Young players don't need heavy weights, which puts a lot of strain on their body and builds bulk.
Most college basketball programs and many prep programs use weights before, during and after the season. When you continue to mesh light weights with shooting and skill development as part of the all-around program, it shouldn't affect a player's shot.
In a program of light weights, it's usually more a set (3 or 4) of doing 10 or so reps to help build quickness and stamina. Talking to a professional in this area is the best bet to tailor something for your son.
From what you've said about your son, it seems like he needs to improve his footwork and technique, and ballhandling. At 5-10 as a high school player, he's going to play more on the perimeter. Making sure his shooting technique and body balance are keys to building confidence and range.
Coach Agena does a terrific job teaching ball skills and attacking the defender off the dribble. Some other camps go a step further in footwork, which helps bring all parts of the game together.
Good luck.
RC -- I know we'll have a great time at the Hawaii Baptist Camp. I wish you could be there because of the coaches that'll be coming in. I guarantee that if you send players, they'll come back to you as better players, knowing some important things to work on that will help them step it up offensively.
I know the one player you spoke to me about would really learn some valuable things playing while facing the basket, instead of in the post. At the next level, if he chooses hoops, he'll have to play on the perimeter and improve his ballhandling skills and footwork.
Good luck and have a great trip to the mainland when you go. If you need any more info on the camp, give me a call.