OK, here are your codes decipered:
KOEO:
(rapid code sequence for STAR-II tester)
(break)
1-1-1
(break)
1-1-1 (each code is repeated twice in sequence: 111 means all tests pass.)
(long break)
1 (this is the flash that breaks up the active codes and stored codes sections, thus the long break)
(long break)
2-1-1 (PIP circuit failure.) (This is the crank sensor that I was talking about earlier.)
3-3-6 (Insufficient EGR flow.) (Your EGR passage in your intake is likely clogged with crud; search EGR clog on the forum for ways to clear this.)
5-4-2 (Fuel pump circuit open, EEC processor to motor ground.)(If the car stalled, even if it's an ATX, this code gets thrown. Troubleshoot this code only if all other codes are resolved and this still comes up. Otherwise don't worry about it.)
6-3-4 (MLP sensor voltage out of Self-Test range.) (This is the switch of many names - Manual Lever Positioning sensor (MLP), Neutral Safety Switch (NSS, this is what the parts stores call it), Transmission Range Sensor (TRS)... it's a large sensor that tells the EEC where your shift lever is. Something isn't right with it. Is it plugged in?)
KOER:
(no stored codes during KOER, so a rapid flash for STAR-II tester and then right into codes it goes)
116 (ECT sensor is out of Self-Test.) (Did you let the car warm up all the way to operating temperature? If you didn't, that's why you got this code. If you let the car idle for ~10 minutes, then the sensor is bad.)
632 (Transmission Control Switch circuit did not change states during KOER self-test.) (You forgot to hit the OD button, didn't you?

)
Basically what this all tells me is that you have a failing crank sensor (it will only get worse until it dies completely), a blocked EGR passage and a bad MLPS.
I would add that for not knowing anything about the testing procedures, you handled it remarkably well. Most people don't even remember to turn the steering wheel, and most can't figure out the cylinder balance test!
So. The MLPS is fairly easy to replace; you'll need a 13mm deepwell socket and either an 8 or 10mm socket - I've found that removing the top half of the airbox and the TB hose makes access much easier. Just look down at the rear driver's side of the top of the transmission housing and you'll see it (it's plastic) with a linkage heading towards the firewall. Remove the nut that holds the linkage on it, then remove the two bolts on either side.
Installation is a little trickier; you have to align it. It can be done with one person, but is easier with two. If you only have yourself, this is what you do - either install it during daytime and wait, or install it at night with a flashlight. Then, back up to a wall. What you're trying to do is get the reverse lights to turn on just as you shift into reverse from either direction, and for them to turn off just as you shift out of reverse. You'll notice that the new sensor has long holes in it for adjustment; you want to loosen the two bolts that go through these and rotate it as necessary for that to happen. This does require a fair bit of spatial orientation as you have to imagine how moving the linkage affects the switch (when the inside is rotated all the way CCW it's in park, etc.). This switch controls current to the reverse lights, so it's foolproof, if somewhat tricky.
So, you'll have to shift through reverse in both directions, and if it's off the lights won't come on when you get into reverse from one direction. If they don't come on from Park, the switch needs to be rotated CCW. If they won't come on from Drive, it needs to be rotated CW. Hope this makes sense.
I am assuming you have an ATX; if you have an MTX and are getting a 632 then you got some
major issues!
As far as the crank sensor goes, there is a pretty healthy debate going on about failure modes and causes, but I believe (others don't) that water dripping from the weep hole of the water pump (which it is designed to do as a pressure relief as seals wear out) drips right onto the crank sensor and causes it to short internally over time.
Replacing the crank seal and water pump is known as a lower 60K (the upper half is adjusting valve lash and replacing valve cover gaskets), and the best walk-through for this available is
here. Go there, read up (it says for MTXs, but the ATXs are covered as well) and read everything else on the site as well; it is chock full of useful knowledge.
I don't ordinarily go this in-depth for people, but you really impressed me picking up pulling codes so fast and helping me help you (with the videos) that I felt rather obligated

. Hope this helps!