What should I do about this..?

Okay so i go to a private school called "101 lakes academy." and it's a private school for kids K-12 and i go to it..but i mean i get to work at my own pace and stuff..but..I feel like i need more of a social network not just being surrounded by kids everyday,i used to go to public school when i was in 4th grade but then i switched now i'm in 7th (i'm 13) i really wanna go to public school but i'm kinda nervous and shy..to start and be the "new kid" it's just really hard to choose,i've talked to my parents and my Dad is like "well how bout we sit through a cl and see what it's like huh?" but that sounds so embarring..i know he's my dad and stuff and he's trying to help but i'm just unsure everyone says "you'll survive public school" 'cause im pretty darn good at math and division and History and i'm really good at drawing and art in general,i wanna go to public school to catch up and stuff..and pretty much i just wanna get away from my Mom and the other teacher at the public school who hates me and thinks her daughter who goes to the school too and is a brat,is better than anyone but i'm better behaved than her and pretty much i'm the only "Normal" kid at my private school,we have lunch and recess and junk but it's getting kind of childish and i don't really wanna do that stuff so i just don't know i really wanna go back but..i'm nervous and everything..can someone help me..? ]: