Hey there.
I understand you not wanting your dad to find out, he sounds very strict and not very understanding. But you should know that he does care about you. It's evident in the way he asked. I understand you dont want to open up to him, but just know that he cares about you. As for the hospital, you by law cannot be sent unless witness report you saying you want to kill or hurt yourself or others, or you are hurting yourself. (eg: attempting suicide, actively cutting)
As far as covering up scars or left over marks; long sleeves are good but cant always be the answer. sometimes you can use a light hoodie. Makeup works sometimes, just make sure you have the proper shade. The best thing you can do however is keep out of the sun. Where lots of sunscreen and sleeves, your arms will get paler as will the scars. Then once you start tanning again the scars will tan up too to be much less noticeable. youll need to pale down for several months though. I know its a tough thing to do but if you want them gone for good its the best method. I recommend make up or sleeves for the time being. It'll get better, of that I can promise you.
Stay safe,
pm me if you need anything.