Welcome to the forum and the community here. It sounds like you have considered different options and people you could talk to regarding getting help and assistance.
Even though it sounds like both your parents are busy with their own issues, it may well be they would be very willing to listen to your concerns.
The Beyond Blue website has a lot of information about depression and also about how people can assist someone with depression. There are questionnaires on line about depression that you could look at to see if you do have depression or not.
I also like to talk to a Dr about anything I read on the internet to check it is accurate. Is it possible for you to make an appointment to see a DR?
Would you feel comfortable phoning Kids Help Line and talking to someone about how you are feeling or Beyond Blue. The support people may be able to help put you in contact with an organisation or support service in your area.
Have you spoken to the school counsellors at all? It can feel confronting talking to people about how you are feeling.
Regarding your haircut, can you style your hair differently until it grows a bit more? That is one thing with hair, it does grow again!
Hope you are able to find some help and solutions.
Cheers from now from Dools