Everyone in the ballroom world has partner problems. One is so dependent on a partner--especially at a higher level when it is very limiting unless they have had equal training. Partner problems go with the territory.
We have one guy about 14 that attends all of our dances. All the older ladies love him. He comes with his mother and loves it. He dances every dance and is a real inspiration for others. He could be very good if he had a regular partner and spent lots of money on private lessons. Another downside to ballroom dancing--it's expensive--unless you can get some type of scholarship or discount. Get an adult to take you to social dances and have fun. Try and get a parent involved. Most of the guys will enjoy dancing with you--swing should be easy for you. However, don't expect to see many kids your age. In Utah, they have High School ballroom teams with very good coaches. Just go and have fun. It's hard to drag non ballroom people into dancing. Be ready to dance with much older guys. Keep taking your classes and maybe eventually you could find a partner with the same interest--until then just try to enjoy dancing and don't wait for your friends to go with you.
I've had about 10 years of ballet. It helps some, but I don't go to class anymore. Ballet helps you learn technique and patterns quickly, find your center, spins and so on. It helps you adapt to ballroom, but it is a entirely different discipline.