Thanks for the advice and feedback everyone :D
Jenny: I usually just let the name "come" to me naturally! I must admit... I'm a huge stickler about my betta having cute faces, and this one doesn't really.. But it's okay ^^ He's growing on me nevertheless! Strangely, at Petsmart, his cup was the ONLY one without that blue stuff in it D:
BettaxFish: I've never actually thought about putting him in direct sunlight! I'll try that once he gets better :) I want to get rid of the finrot first. About how long does it take for finrot to heal?
Kaisa: I've heard about trimming as well. I don't really mind the curling tho and knowing me it'd go drastically wrong :[
JKfish: Sine he looks rather young, I'm assuming his fins will keep growing :) I think he's a "returned" fish since his cup was the only cup with clear instead of blue water >:[ I'll try the frequent water changes! That sounds promising.