check the coolant level
Clean the carbeurator and lube the throttle cable.
Incorrect ignition timing or damaged valves would make a 95 Honda Odyssey sputter and backfire. Backfires are directly caused when ignition occurs at the wrong time.
No
Fast idle motor is not functioning properly.
Yes it can.
Carburetor needs rebuilding, most likely.
lack of fuel
bad fuel bad spark plugs incorrect timing
Yes. When you suspect it is clogged, replace it.
water in the fuel can cause an idling motor to sputter and/or die.
a rapist in your trunk
Most common cause would be the plus wires. Dampness causes them to arc and the cylinder that the wire is arcing on won't fire causing a miss/sputter.