Questions about being a vegetarian?

Okay so i'm 15, starting to get a little bit overweight not obese, found out that meat gives you too much proteins than what your body needs and growing up you can develop cancer. i appreciate that i have found out all of that stuff when i'm still young as i wouldn't like to grow up with diseases and cancer, I read about vegetarianism and the advantages of it, I usually eat a lot of chicken but I don't admire chicken or love it so much, meat also is not necessary . and recently I have found out that they are slaughtering animals illegally in my country , not necessarily all meats but there was a video leaked of them hitting the cow on its head and then slaughtering the poor animal, also they kill animals in front of each other which in my religion is considered forbidden as animals also have feelings, and my aunt lives in the country side and grows her own food including chicken, and seeing her slaughter a chicken (legally) but the chicken was resisting and it looked awful, so I think being a vegetarian is good for me and not really that hard except for fish :\ fish is my favorite meat and the healthiest comparing to red meat and chicken (it has omega fats which are healthy and B12 vitamins) , and actually i like it because eating fish gives me nutrients that help my body and my hair too! I don't eat it regularly so maybe 2-3 times a month maximum and sometimes we can spend 3 months or so without fish so I don't eat it that regularly but turning into a vegetarian would be good unless mum decides to cook fish, okay i'm so talkative, bottom line .... if i eat fish would that be called semi-vegetarianism or what? I don't want to walk around saying i'm vegetarian because what matters to me is that I don't want to eat meat from a tortured poor animal and also for health reasons, are there vegetarians who eat fish? if so, what are they called?