My 1995 Nissan Quest clicks when I try to start it. The battery is brand new

Faulty starter switch.

Do a fault code test. You can learn how to do this here.

http://groups.yahoo.com/group/villagerquest/

there is an inhibit relay in the battery box

If you tried jumping it and it still doesn't start, then it's not your battery. There may be a problem with the solenoid/starter. Try tapping the starter a few times with a metal object (tire wrench or something), but not too hard. Then try starting it again.

remove exhaust manifold ( problems with bolts braking off

Well the first thing that you must check is see if the battery is charging ,if the alternator is charging the battery enough,with a multimeter,if there is not enough power in the battery ,the starter will be hard to turn the engine for starting,hope that clear your mind and help you

Are you hearing a clicking sound when you try to start your car. I suspect what you are really looking for is a starter solenoid.

A starter solenoid (or starter relay) is the part of an automobile which relays a large electric current to the starter motor, which in turn sets the engine in motion.In many vehicles the solenoid also engages the starter pinion with the ring gear of the engine.

Either the switch or the nutural safety switch is bad or the wiring from the switch to the nutural switch or the to the starter solenoid is open or disconnected. Either trace wiring or test or replace switch(s).

No click from starter at all? Check charge on battery , check voltage at solenoid on starter when trying to start. Could also be faulty ignition switch. Remember this unit is more of a ford product than a Nissan.

check the 3 fan relays in the black box under the hood by the battery. Also check to see if ECT, engine coolant temperature switch is bad. good luck