I agree with Shadetree. If your neutral light is coming on, the problem is likely a bad solenoid. When you jump the two posts on the solenoid, all you're doing is bypassing the internal workings of the solenoid and bypassing the start button circuit. When you do this, it sends power straight from the battery to the starter. And welcome to the forums.
Most 4-wheeler problems are caused by a loose nut connecting the handlebars and the seat!!
You only need two tools in life -- WD-40 and duct tape. If it doesn't move and should, use the WD-40. If it shouldn't move and does, use the duct tape.