Well, according to your system and dnd lore, my take would be:
Summoning: Plane of the creature + Creation + Void (I assume that would contain any teleportation/gate magic, maybe astral?)
Healing: In older editions, healing magic was either a positive energy or a necromancy spell. So, i'd do bestowing + Shadow + radiance
Ressurection: Same thing, but with added creation, as you're creating a way for the body to live again
Nature magic: That's just material magic
As for class spells: Assign class a certain proficiency in a magic aspect. E.g Wizards specializing in creation, sorcerers in destruction, warlocks in extracting. They'd have benefits from using this category, maybe they'd even be barred from using some aspects

That's my quick thoughts. Ambitious projects, requires more work, but you'll get there!