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I looked for information on this but couldnt find it, so appologize ahead if this has been asked before.

I just entered Celestia and visited the new schools. They only go up to level 52. Will higher spells be an option once I achieved higher levels?

Example: Higher than "Strong"

The other question is: are they like the other schools in having to learn the lower spells first?

Yes , there are more of the astral trainers. The ones from the main school you will easily find while working on your quest. Not sure if I can post the exact locations of them here, since they won't let you post spoilers to this forum. Other fansites such as Central 101 had should have the exact locations posted. There is also some secret trainers too. Some will give you that one free spell, plus others you can train at.

Sun Trainer - Floating Land
Mutate Trainer - Stormriven Hall
Moon Trainer (Gobbler - Dracon branch) - Lunarium
Polymorph Master (Treant + Elementals Line) - Stormriven
Star Trainer - Stellarium
Diego - Unicorn Way (Cloak / Conviction (Sergeant+ Rank)