I'm pissed that dad gave a present to my sister that I wanted myself
Why do you think he did that?
His intention was to cheer her up.
Maybe  you can talk to your dad about it? It sounds like your sister is having a hard time, but not talking about it will just lead to resentment.
I can't stand the fact that mom died that long time ago. I feel she would have made a better parent and she didn't die at all.
It sounds like you already have a lot of resentment towards your dad. Do you want your relationship to be strained forever? Maybe  you can talk to him about the type of parenting and care you need.