Is it normal to avoid relationships?

when i was a teen i was made fun of to no end. i developed severe anxiety, depression, depersonalization. but worst of all, i dont have any relationships, except one. i have a girlfriend of 4 years and she is my world. but i cant look at my parents or family members in the eyes. i talk to them as if they were a robot. i establish no connection with anyone. i also feel very emotionless. i guess i am always worried people will think im weird or not good. ive felt that too much in my life i avoid it at all cost. but i phisically can not talk to people. if i tried i would either pass out or have a panic attack or die. so instead i just look at the floor and say yeah, mhm.

this just became a problem because i am about to graduate college and my girlfriend wants to start a life with me but she told me i basically suck, and i wont have a good relationship with my kids or her parents or anyone. like im going to dread our life as a couple. she said she wants a guy who can hug her mom and it would be not weird, or who cries when their sad. i cant even have a job, because i suck at interviews and people skills. and i was rejected for pretty much every back room job in my town.