A couple of things I would add are :
1) The red light is also an early warning of overheating (this is why some people may have experienced the light flashing momentarily when driving along , this is caused by a intermittent break in communication which causes the light to come on just like it does momentarily when you first turn the ignition on )
(Does that make sense?

)
2) To check the the plug that goes on to the level sensor to make sure there isn't any signs of coolant /water , as this can be drawn back up the wires to the fuse box / relay plate and bu66er it upÂÂÂ
