It is understandable that you are sad. Your life has been disrupted by your parents’ divorce and your family has been split apart. When your parents divorced, you lost your home, your town, your school, your friends, your family and probably much more. Everything that you used to know is gone and you are now living practically alone in a new state, without most of your family or friends. Almost anyone would be struggling, given the type of life changes that you are encountering. What happened to you is not fair or easy. You unfortunately are a victim of their divorce.
You said that your father leaves you alone all day and night but you do not feel that it is “your business” to ask him where he goes. Please know that it is certainly “your business” and your right to ask him where he goes. It is also appropriate and advisable to ask him to spend more time at home with you. He moved you to a new town and therefore he, as a parent, is responsible for helping you to become familiar with your new surroundings. This is his responsibility as a parent. This is his job and he is currently not doing it.
It may be that your father is working to establish himself in your new town. This may be why he is rarely home. Part of the time he may also be socializing and that is why he does not come home until 2 a.m.
It is normal to feel sad and lonely in your situation and it is okay to ask your father for help. I strongly advise you to go to your father and tell him how you feel. Be honest and open with him. He may have no idea how you are feeling. Tell him that you do not like staying home alone and that you would like him to be with you more often. Tell him everything that you wrote in this letter. If you feel uncomfortable approaching him, why not give him the letter you wrote to me. Your letter does a nice job of explaining how you feel. You may even want give to him my response to your letter. Thanks for writing.