I love the music!
If you skate as well as you arrange videos, you will win gold.
I'm not an expert, I think you also need permission from the composer(s), not just the performers, and may need to pay them royalties. Many coaches are familiar with the requirements, and how they are best handled.
The videos you have posted should probably mention the copyrights. If I were a performer, and you used my performance in a video posted at Youtube, without asking first, and without giving credit in the video itself, I might not be inclined to give you permission to do anything. I don't know if that happened, I'm just mentioning there may be an etiquette here, on top of whatever legal issues exist.
The video sequences are undoubtedly copyrighted too, BTW, and it may not be OK to use them in a Youtube-posted video, unless you had permission.
"But everybody ignores copyrights on Youtube!" True, but...