Ok... I am completely lost. Did the narrator kill his parents? Because that's what I got from it.
I wouldn't consider this a story, as nothing really happens. First, the reader gets a cool introduction, then a sudden, vague realization, then a quick ending. I am left wanting more. What's the deal with the narrator? Why did it take 3 years for him to come to the realization? Why did he decide to go to the bridge (and what seems to end in suicide)?
Here's my advice: start with a scene.
You take a situation (for instance, parents' death), then you put it in a place (kitchen). Then, you cram as much detail in this scene as possible (what did their bodies look like? what did the blood look like? what did the cabinets, sink, and stove look like? what is the narrator's initial reaction? did it feel cold? were there any sounds? what were the parents doing right before they died? etc.) The point is to paint a picture, so the reader will believe your story.
After you filled your crazy scene with all this detail, you take out your scissors (figuratively). You remove all the unnecessary details and keep the ones you feel belongs. Not all the good details have to be related to their death. It could be a leftover sandwich in the sink that the narrator ate that morning. The point of this activity is to refrain from boring your reader with too much detail but giving them just enough to believe it.
Remember: this is my response to a portion of your writing. Take from it what you will. Good luck and happy writings!
biggrin 
