I have a 1996 subaru awd legacy wagon. The rear running lights do not work and I got pulled over and ticketed for this at night. My question is, do I need to change a blown fuse or do I need to change the bulbs?. If I need to change the bulbs which ones and if it is only a fuse how to I find the right one?

SOURCE: 1993 Subaru Legacy Wagon: Bumpy Brakes

Your '93 Legacy was one of the first cars to provide ABS as standard. If your ABS is activating, you'll feel a fast pulsing feel when braking, is that what you experience? 
If it's more of a brake pedal movement that changes frequency with the cars change of speed, and when moving slowly it feels slower and more pronounced, you likely have a warped rotor. 
An ABS issue should be checked out by a Subaru mechanic. If it's the rotor, then the offending rotor will have to be machined or replaced. If you can identify the rotor that's warped (with the car on stands, rig up a steel ruler so that it touches the rotor, and spin the wheel by hand. If it touches intermittently, then the rotor is warped) you may be able to remove it yourself (buy a workshop manual for instructions) and bring it to a brake shop and have it machined. This is far cheaper than they doing the whole job. 
However, if you're not comfortable with these suggestions, then have a brake shop do it for you. This is an important safety device (obviously) and worth the money to have it done correctly. Early Legacy's are pretty much bullet-proof and last forever, so the investment will be worthwhile.
Hope this helps.

SOURCE: subaru legacy wagon

This problem is usually caused when the transfer solenoid/valve assembly goes bad, it's located in the transmission extension housing & needs to be replaced. it can be done without removing the transmission.

SOURCE: Need a free on line repair manual

Try this online PDF download for the 96 legacy:

http://www.onlinefreeebooks.net/automotive-machinery-power-equipment-ebooks/subaru/1996-subaru-legacy-service-manual-owners-manual-service-supplement-tsb-pdf.html

SOURCE: '97 subaru legacy L,AWD wagon, 2.2L, auto trans.

Do you hear a 'click' when the key is turned to start? Have someone try the key while you listen under the hood. It should be the starter solenoid clicking. You need either a test light or voltmeter to test further. One large terminal on the solenoid has the large wire from the battery positive, and should always show voltage/light at all times. Test the other side of the solenoid (large terminal) that is connected to the terminal on the starter motor. It should show light/voltage when the key is turned. If it doesn't, the solenoid must be replaced. If it does show light/voltage, then the starter motor is defective (probably brushes). If you get no click when turning the key, test the small terminal on the solenoid, you should see a voltage/light change when the key is turned. If you see a change, but no click, the solenoid coil is open or the case of the solenoid is not grounding where it is mounted. Try loosening the mounting and re-tighten. If no help, replace the solenoid. If you see no change at the small terminal, remove the wire from it and using a spare piece of wire, touch the small terminal to, first, the large terminal that the battery is connected to, then to the the mounting bolt for the solenoid. If the solenoid is good, the starter should operate with one of these two tests. In that case, the starter position of key switch is open--replace the ignition switch.