OP - I think more than losing the passion for horses, you are incredibly bored. I would be bored if I did the same thing day in, day out for 5 months. You are young, you can ride AND take part in other activities. It takes some juggling, but it is completely do able. You will not be the first teen to be shuttled from one type of "practice" to another several times a week.
I understand the desire to have other people to socialize with. For the last few years I had my horse at small yards with nobody else to ride with, talk to, or relate to. It does get boring. I think we can all agree that riding is much more fun if we have other people around us to enjoy it with.
If you feel the need to take time away from horses - I think you should. We are all different, it's nothing something I would have done at 13, but I'm not you. Best of luck with it :)
Stop for a minute, open your mind, learn. You may not agree with what I say, I may not agree with what you say but we will both learn something new.