It does seem that your father did have something happen to him as a child. Anyone who gets angry and doesn't want to admit to being wrong can have a personality disorder. And if he is unwilling to help around the house, that can be a symptom too. When someone has a personality disorder, it can make them hard to get along with and very uncooperative with others because they feel helping makes them compliant and that is unacceptable to them.
The noises are harder to figure out. If the doctor's have tried to help, it could be that they just can't figure out what the cause is. But if they have ruled out everything they can, it could be that your dad makes those noises just because he chooses to. They could also be related to whatever his diagnosis might be, such as anxiety or stress. It could also be that he knows they bother others so he makes the noises to get attention.
It can be hurtful when you try to tell someone something important and they do not believe you. I am glad that your mother and sister finally understand!
It does sound like your father may have a physical issue but for some reason is able to control it around others. It could be that his coughing has become a habit so he does it only at night now. After so many years, he may do it from anxiety as well. It can be a form of expressing his feelings, almost like a bad habit gets out anxiety.
That you were right about your father making noises.
I can understand your frustration with your father. It can be hard to deal with someone else's symptoms. The best you can do is to try to stay away from him. He only gets angry when you point it out and he doesn't seem like he is willing to stop. So avoiding the noise when you can is the only way. If it gets to you too much, taking a walk might help. You can also do stress relieving exercises:
That you were right about your father making noises when you pointed it out early on. You had said that you told your mother that your father was making noises and that it was upsetting you. You mentioned that her response was to say you were not right. Then she heard the noises too and agreed with you. Your sister did as well. At least that was my understanding from the paragraph above- "My whole family said that the first few years he did that they say stop making up stuff to me he's not making any annoying and irritating noises your making it up since there's something wrong with you. It's only in the recent few years they found out oh why is he making so many annoying and irritating noises my sisters couldn't get to sleep and nor could my Mum i told them it was real they didn't believe me even before the new medication this year and first psychiatrist and gave me a rubbish medication that he told me to stay with and had CBT and another therapy enough no need anymore up to me to get better."
This thread is getting long as well. Do you want to begin a new one today?