Yes, your boyfriend is abusive. He is verbally and emotionally abusive. (I've experienced verbal/emotional abuse, physical abuse, and sexual abuse, and the hardest one to heal from for me BY FAR is the verbal/emotional abuse.)

He's an alcoholic. Please RUN from this guy. Alcoholism destroys the lives of not only the alcoholic, but everyone close to them.

Get away from this guy. YOU DESERVE BETTER!