Former Kaplan teacher/tutor/teacher trainer here. I taught the LSAT for a year, maybe a little less, and I typically taught 2 courses of it at the same time.
1. How much do tutors (not teachers) make?
I taught in a small market in the south, and we paid ~$19/hour. Maybe a dollar or two off there either way. There were not astronomical jumps that I know of. I certainly hope that the poster above who got $38 was telling the truth if he worked in Boston, NYC, DC, SF, or somewhere like that. The market would be ENTIRELY different in those places, not just due to cost of living, but to the proximity to extremely good undergraduate and law schools. $38 does not surprise me at all, but I have no first-hand knowledge of what the pay in such a market is like.
2. I'm planning on re-taking the LSAT in October. Would learning the "Kaplan method" through their training mess with the methods I already use and hurt my personal October test prep?
This is possible, if you're an idiot like me. I qualified to teach the LSAT based on a practice test at the Kaplan center. I didn't know the Kaplan methods at the time and scored just enough to start teaching. After teaching the LSAT for a few weeks, I decided to go to law school and thus take an actual LSAT. I sat down to take my first practice test, and I had no idea how I had solved the logic games (my best score on my original practice test) prior to teaching the LSAT. This was pretty scary. So I taught myself the Kaplan method for logic games and worked my way up from getting about 5 right per section to the occasional perfect section within a month (while teaching 3-4 nights a week on top of my 50 hour/week day job). A few more weeks of practice, and I think I would have been able to get all LG questions right on the actual LSAT, but I didn't want to put the LSAT off another 3 months. The Kaplan methods definitely helped me on the LR section (missed 1 on each section on the actual LSAT), but the RC never really took with me.
3. What is training like?
I thought training was great, but a LOT of this will depend on your center and your teacher trainer. We had a fantastic training program where I was, and I not only felt I was extremely prepared for my first class, but I also felt like I became a much better public speaker/presenter because of the experience. Our trainers kept it very positive and always encouraged us to do things to become excellent - not berate us on things we missed. It was mostly very practical. You prepare, get up in front of the class, go through a fake class, and then your performance is analyzed.
Something was mentioned above about the Kaplan propaganda. Yes, you do have to brand a lot of the things you mention, and it seems silly, but it really was no big deal to me. What was worse was when they tried to get you to say other cheesy one liners (e.g., "If I mis-bubble, I'm in trouble"). I generally tried to keep everything in the classroom light-hearted, so it was easy to slip this stuff in. Often the silliness would stick with students, and they would remember later what a goofball I sounded like saying it, so, to me, it worked.
4. Do you recommend it? Also, feel free to add any other information that is relevant.
It depends on who's working at the center where you would be and what your other options are. In my case, the people at the center were fantastic. Since Kaplan is run like a bunch of terrorist cells, I could see how working in different centers could produce wildly different experiences. And where I worked, there wasn't a whole lot of competition. So I could have worked for a higher-paying company, but making $40-50 an hour when you're only teaching 2 hours a week doesn't really help. At Kaplan, I could generally pick up as much work as I could handle for the LSAT alone. I also cross-trained to teach the SAT, GRE, and GMAT, and I was a teacher trainer briefly. So 4-5 nights a week at 3-4 hours (along with the slave labor wage for prep time) resulted in more money overall than the competitors. The math on this would be very different (though not necessarily ruling out Kaplan) in larger cities.