Bro, don't let it cripple your life, the sooner you swim out the pool of misery you've been thrown in, the less time you'll lose. I'm pretty sure your father wouldn't want you losing out on what little life you have. His death only reinforces the fact that the clock's ticking, get out there and live, don't lag behind. If you're having trouble getting it all out of your head, read a book, or get into a hobby or even just go for a walk, keeping your body moving is keeping your mind moving. I'm not implying that you should ignore your pappy but proving that you can endure such a catastrophic event not only goes to show that you can handle yourself very well, but means you don't lose out on any moments to live up to your father.
You have my condolences, if they mean anything.