When my son was playing high school hockey (2012 and years prior), I relied almost exclusively on the DA*50-135 on my K-5. Here are some examples from 2012, by which time I'd gotten fairly handy with the combo in dimly lit rinks
https://darylkottwitzphoto.smugmug.com/Sports/Prep-vs-Westside-12512/. I found the best location to shoot was from the end of the rink with the lens hood pressed against the "glass" to minimize reflections. If you have similar access, the 70-200 f2.8 is probably the best choice. If you'll be shooting farther away from up in the stands the 150-450 may be a better choice, but with the compromise of higher ISO and resulting increase of noise. The DA 300 f4 (demonstrated to work well on FF) might be another option for shooting from the stands, but obviously at the disadvantage of a fixed focal length.
Hope this helps.
Daryl
PS: Also, don't forget to enjoy the games!