couple projector questions, please

1) first off i have a projector adn i moutned it on the ceiling so when it shines on my wall its not straight, i used the keystone to make it straight. problem is, only the actual image is nice and rectangle but theres still light shining around it, just the picture changed, not the whole light projecting part, from this / \ to this /| |\. anyway to fix this?

2) The projector is very heavily tinted red, i have component cables but its always extremly red, i do turn the red all teh way down to 0 and blue and green are at 32, this seems to make it normal again, just wondering if theres a solution?

3) it was a broken projector that i fixed, problem is soemtimes when i turn it on the fan doesn't move, and when this happens the projector turns off and i have to unplug it form teh wall and plug it back in to try again, usuually to fix it i have a little screwdriver to flick the fan but sometimes it can take 10 minutes of constant trying to get the thing going. is there any way to fix this fan without opening it up?

4) my pc is in another room than my projector adn i want to connect it still, is there any really logn wires or some way of connecting it?

thanks for any help