rewire dome light diagram w/remote start

does this diagram look like it will work? Its a 00 toyota 4runner. Normally only the rear dome comes on when the door opens. I want both maplights up front to come on with the dome light. Front maplights are switched (+), rear dome is switched (-). I would also like the (-) or (+) output of the remote start, preferably (-) because I have the relay already set up from the remote start, to make both the rear dome and front maplights to turn on. Let me know if there are any problems with this diagram, if I need any more relays or diodes. Also, anyone know where I can get 'quiet' relays, as I dont want to always hear the clicking above the headliner. and something small enough that will fit in the maplight console. Thanks

Heres the link to my diagram.

Heres the better link, the other one did a thumbnail for some reason

https://i6.photobucket.com/albums/y244/dibblephotos/Misc%20Hosted%20Pics/DomecircuitwithremotestartMedium.jpg

another question. How would I run a relay, so that I take the ground wire from the dome, and run it to another light, using the relay to strengthen the ground, the opposite of what you use a relay for + projects, small + voltage flips relay to produce stronger +.