Hi, sorry for the late reply...
Danger Points
Danger Points are a per-level stat. So they all reset when you gain a level.
Also, when you reach 3 Danger Points, you become Incapacitated, etc. and when you recover, your Danger Points are set back to zero. Otherwise you would be in constant danger for the rest of the level.
The balance is set to the idea that some characters might reach zero HP almost every game session without having permanent consequences. (You could make things feel more lethal by recovering only 1 Danger Point per level.)
Spell Point Recovery:
This is explained in Arcane Recovery under the class feature sheet:
Arcane Recovery
(Short Rest) When you take a short rest, regain Spell Points equal to your Character Level.
After a long rest, regain all of your Spell Points.