1 - I like the lines and think it is good but would be better if:
white balance seems too yellow
i would try to remove the mirrored image on the ends with lassoe and average blur - it is distracting
it would be better if you did not frame through the instructor
I think because of the mirror you would be better to frame such that there is no mirror - through one of the ballerinas
2 the better of the pictures for me for the distraction reasons mentioned above. I would still paint the reflections much darker to demphasise and get the full foot in front. Still looks a bit yellowish to me.
3 does not work for me because you are framing through girl foreheasd and too much glare. Try without the flash and iso 1600 and your fastest lens.
4 for me the child is too small in the picture. You could crop off most of the right and top side. It would be better with his face not obscured. As is the surroundings do not complement the main subject.
When I pick the WB of the instructors clothes it turns out the same as yours. No problem with that.
There were actually three light sources in there.
- a window behind me
- fluorescents overhead
- my flash at half power facing towards me on the right
My thought is that different colors of light are no problem as long as the faces (if they are visible) look acceptable. In this case it should work.
As for using a diffuser... all the walls are black in that room
The only thing that could work is a fluorescent gel on the flash. Unfortunately they are not available anymore in my sweet country (Netherlands).