Weight loss

Hi everyone! I'm 18yrs old and I'm 5'4 and weigh 204lbs. My family recently told me that I shouldn't be wearing a two piece swimsuit because I'm too heavy for it. They also told me that I need to go to my trainer more because I'm not losing any weight. I just started going to my trainer august 1 and go 2 days a week because I'm a senior in high school making me super busy. I've lost 8pounds since starting but I guess my family can't tell. Anyways do you think I'm too heavy to wear a 2 piece swim suit and does it make me look super fat??