Is it normal that my honor gets unlocked after only 1 week and a half since I've been unbanned?

unlocked yes.

level up, no.

It also depends on how many games you play a day.

Good for you, dude. No seriously. As long as you can keep that up, I respect you.

Took around a month for me though... and I'm still Level 0. Now it's just unlocked for progression.

It depends on how positive you are in your games.

I was unlocked after like 2 weeks, took like another 3 weeks to hit honor 1, another 4-5 to hit honor 2, and i just hit 3 last week