Maybe I deserve to die because of the things I've done.
If everyone deserved to die for minor infractions on anything, there'd be no one left.
I hate myself so much and can't deal with knowing I'm so evil.
Depression lies. You're not evil.
I'm afraid to be happy in case I get found out as the fraud I am.
Faking anything, if you were, realistically, still isn't a reason to deny yourself the happiness. You deserve to be happy because you're a person. Everything else secondary.
I keep googling what are the characteristics of child molestors and they all say that on the surface they seem like nice people.
Maybe stop googling that, because they're really not talking about you. One thing child molesters aren't concerned with, is the effect on their victims.
Being caught masturbating isn't nowhere near that. You're not a child rapist, don't paint yourself for one.
Another thought? That victim / perpetrator blurriness is pretty common. You're not those people, don't slide deeper into thinking you are just like them please.