Here are the issues with my 2000 Subaru Legacy L with 5 speed manual transmission: 1. ABS light illuminates when transmission is put in reverse and remains illuminated until car is turned off. 2. Reverse lights illuminate when brake pedal is actuated, regardless of gear selected. (brake lights work normally) 3. Engine remains running when key is turned off and transmission is in reverse. If you keep the key in off position and take transmission out of reverse engine will stop and all electrics turn off as normal. Car turns off normally when in all forward gears and neutral.

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Usually in the transmission where the speedometer cable used to be.

It's a bad solenoid. Reverse and low gears work off the same set of clutches. If you have first gears , then its a solenoid problem. I would first start by pulling plugs, transmission, TCM and everything in between. Check for corrosion, Use an ohm meter and check the wires for continuity. On some models the safety neutral switch/ range selector switch has a lot to do with how the transmission shifts. If the tcm can't read the switch it wont send power to the solenoid. so far I haven't found a place that will sell just solenoids. You have to buy the whole package. These start at about $200.00

I would bet you drained the transmission oil and not the engine oil. It is a pretty common mistake.

How much oil did you add when you where done. is the oil level on the oil dipstick now reading overfilled? Is there any fluid on the transmission dipstick?

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all 5spd from legacy legacy gt outback will fit from 96-2002 they have same gear ratio you will have to change over mounts and speed sensor

the starter solonoid sounds faulty give it a tap

WELL IT SOUND LIKE YOUR TRANS IS GOING DOWN YOU NEED TO LOOK AT TRANS FLUID TO SEE IF IT IS CLEAR LOOKING OR IS IT LOOK LIKE METAL MAY BE IN IT DRAIN A LITTLE IN A PAN THE LOOK AT IT IN SOME LIGHT AND SEE IF IT LOOKS LIKE GOLD FLAKES OR SHING METEL IF SO TRANS HAS INTERNAL ISUSES

if by a/t you mean automatic transmission try a power purge transmission service it may have a filter sensor that is telling you to service soon