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At level 7 with a first party, you've probably not been in Arnika yet. There you'll have the chance to buy a number of books (especially priest books), and things will go better.
Didn't you find the Stamina spellbook yet? This should be a chance to improve water realm.
A spell that is in several books has a chance to improve the skill of the highest scool. So in your case, heal may improve alchemy. To raise Divinity, you need priest-only spells. Use bless and make wounds a lot. When divinity is at 14-15, you can learn more priest-only spells.
A bishop has a lot of spells available, but he takes a long time to develop in Wiz8. Pure spellcasters will improve much faster.
To the light spell: cast it once before (or after) each rest, not more often. In my experience, it may improve fire skill up to 3 times a day.
There are other spells wich may improve skills even if cast outside combat. For example, heal and missile shield. But other spells like stamina don't raise skills outside combat.
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