2002 BMW 318I showing one reverse light

I think you should go for repair manual first for your vehicle after that it will be easy for you to solve the problem. Check the link may be you will get something useful here
2002 BMW 318i Workshop Service Repair Manual

Ignition firing order is 1-3-4-2.

Ignition firing order is 1-3-4-2.

Do you have the correct bulbs? Did you check to see whether any of the other front lights are out? I don't know which instrument panel you have but have a walk around the car with the lights on and see if any of the lights are actually out..

no the auto is shorter because the transmission is longer

BMW Owners manual. 1998 BMW 318i 4DR E36 BMW 318i CONV E36 BMW 318is 2DR E36 BMW 323i 4DR E36 BMW 323i CONV E36 BMW 323is 2DR E36 ... data.bmrparts.com/bmwparts/1610.html
have just checked this site out and the have a manual for yr bmw - hope this will help-

Hey
How du i mount my tacho rings in my instrumentpanel.
my car is an BMW 318i E46 from 2002

bad ground to wire. shorted wire or bad plug

I believe there are multiple bulbs in each of the units, as they blow the unit dims, change the bulbs you should be good

bulbs behind the gauge cluster most likely need to be replaced....