Should I go talk to a therapist?

I have been going through a lot lately. Towards the end of last year my parents got a divorce. A lot happened before they got divorced but I won't go into all the details. What happened before they got divorced happened for five months. My mom kicked my dad out because he was hurting all of us (my mom, my brother, me, and my grandparents) emotionally. My dad has recently been admitted to a mental health clinic where he will be for 6 months. A couple of my friends asked if I thought about seeing somebody and my grandpa suggests my brother and I see somebody. However, my family isn't in the best financial situation right now. We are lucky if we can pay rent and afford gas. I do work at a job but it doesn't pay a lot of money ($7.68 an hour). I have been told that I seem to be handling things okay by my grandmother. Although one of my friends thinks that I have been distant because I have had a lot on my mind. It's true that I have had a lot on my mind lately. These past few months I have felt kind of down in the dumps. At times I would listen to depressing music and once I self injured. I have thought about self injuring lately but have told myself not to do it. My heart was also broken so that didn't help with the sadness factor. I had nightmares on and off since the summer involving my dad (once with my dad lighting the house on fire, once with him and another woman and me screaming at them, etc.). Part of me would like to talk to someone but part of me would think that it would just make things worse. I don't always like talking to people about my problems because I am afraid they won't be understanding and that I'll get emotional (I've been told ever since I was little that I was emotional). I also don't want people to know/find out that I am going to a therapist. I am afraid they will think I am crazy. I have talked to my friends lately. Some of them have been more understanding than others. However, I don't want to feel like I am constantly bombarding them with my problems. What should I do and should I go see a therapist?