Before I write anything, I will mention that if you do have any doubts that you might have some mental disorders it is best to go to a professional - psychologist, or psychiatrist if needed.
Labelling your self with mental disorders can be harming, especially if not discussed with a professional beforehand. I personally have quite a few issues, from depression which I finally keep it on a leash thanks to the right therapy. There are some other things that are pretty complex to pinpoint like adult ADD and Asperger's. And many people will not accept it lightly, so I like to keep these things to myself. As a female, I can mask my feelings and behaviour like a champ, so mostly could label me simply as "odd" and "clumsy". If I want people to treat me just like everyone else, which I sort of want to, I don't even mention these things, I cannot explain the awkwardness that usually follows.
As for sensory issues, it is quite mild but there. I have sensitive hearing, but the only issue ever I had is that I cannot lead a conversation in a loud place or when someone else is talking to anyone else. Many people do this "cross conversation" without issues, I am completely unable to do so. I cannot turn off my mind of not listening to others, I am VERY easily distracted. Perhaps loud sounds like in the city simply tires me a lot. I only have strong issue with food, some textures of certain food, especially in meat (but I love meat...) make me physically ill and I cannot stop the ill feeling.
Parents can be harsh in this case, I know mine were and still are. I didn't get adequate help nor therapies until I moved out and sought professional help myself. I guess in my case would be is that parents simply turn their heads away and sometimes really don't want to face some facts, no parents want to know that there is something "wrong with their child", and when the child starts labelling it self that there's something wrong with them, it is really hard for the parents. To this day my parents don't accept anything, and I am well near being 30 years old now. Because you know, "it is all in my head".
I really suggest if you have any issues that are bothering you and keeping you from living a good quality life, to seek professional help. Wearing specially made plugs is an excellent idea, I myself am thinking of getting such (they simply soften or block certain frequencies). I honestly forgot what they were called, but they were specially made for Autistic people/ people with SPD, it could help me on my bad days when I am unable to stand my birds shouting or a trip to a busy store.
I wish you the very best, and I hope your household will be open to help you further to your journey to a better life.