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I'm not sure if you can remove the penalty with remove curse, you probably can, but I do know that you can also bypass it by succeeding at skill checks.
Last I checked, you can remove the penalty from the mirror buff with remove curse.
And spell slots are fixed no matter what based on caster level.
But there are ways around it like free cast illithid power allowing you to cast a spell without using a spell slot or some of the staffs too let’s you cast a spell once a day without using spell slot .
But number of learned spells that’s INT dependent for wizzard
You're thinking of *prepared* spells.
Wizard can learn any spell from a scroll, and they can freely change their prepared spells as long as they're out of combat.
Wizard class level+ Int modifier.
To explain:
At level 1 you get 1 spellslot for being a wizard.
12 int give you a +1 int modifier.
Making your total spellslots 2.
With 14 int you got a +2 making it a spellslot of 3.
16 = 4.
Etc.
To a wizard int is the most important stat.
Dex the second most important and con the third most important.
Int because it makes your spells stronger and give you more spellslots.
Dex to get better dodge ac(aka the ability to avoid getting hit)
Dex also effects your range attack spells.
Con is to not die to a cought and to make concetration save(and 5e love its concentration spells)
Playing a wizard is like playing a scientist.
You arent good at fighting.
But you know 27 different ways to compleetly criple the human body.
Spell slots depend on your caster level and have nothing to do with your spellcasting modifier.
Spell slots are the blue little squares you use up when you cast spells.
You can get extra spells slots with Elixir of Arcane Cultivation potions up to level 4...
Casting modifier only gives you bigger list of spells you can prepare that use those spell slots as fuel - charges
that and it increase accuracy and power off your spells be it healing, damage or easier control...
now IF you want more fuel-charges(resource) for your spells you can get items that help with that and some tadpole powers help with that as well, meaning they give you spell slots back or they let you cast a spell without it.
As a last thing that helps with fuel-charges are items that give you extra spells those spells don't use spell slots but are instead once per long/sort rest. You even have Magic Initiate - Feats that do the same and to top it off you can use scrolls but all those spells can't be upcasted meaning they are always the same level in power.