alex - i am in very south western part of ct. i was thinking you could try out my relay to see if yours is bad cause they cost about
140 bucks or so from the dealer

if i remember correctly.
that way you would know if you need one or not. no sense in paying for a new one just to test it.
what do you think? we are not that far away from each other..
bob in ct
edit: just saw your edit - looks very much like the relay itself is bad. lemme know what you want to do.