Im 13, and severely depressed/suicidal.?

Im a 13 yr old girl, i have severe depression, and im suicidal. I have had depression for 5 months now, and its killing me. I get suicidal thoughts daily, and close to 1 attempt. My parents know im depressed and suicidal but they dont know how bad it is. I keep thinking about stabbing myself, or getting my dads gun and shooting myself, but i try my best not to, instead i cut myself. I noticed my cutting is becoming worse, and deeper. My parents dont know that i cut. Its 4:56am where i am right now, i havent fell asleep yet. (I cant sleep anymore.), i have to pretend i slept because my parents will get mad, i hav a neurophyscologist appt in basically 5 hrs for a concussion i got 5 months ago. So usually at night when im alone my suicidal thoughts, sadness, and cutting escalates 10x more than its is during the day. (and its really bad during the day). I am trying to avoid cutting my wrist because its now too noticeable and i dont want people to see it, so now i cut on my ankles, and my elbow. I just cut my elbow and my cuts are getting deeper. I know i need help. My parents are finally taking me to a physcologist this friday, Do they look and try to find cuts, or will they ask? From what ive wrote is it likely im going to be put on antidepressants?, and what are my chances of being admitted to a mental hospital?