Here's a bit of information about teaching in Thailand from someone with about 18 years experience in doing so:
1. There are two types of teaching jobs here. There is teaching at a Language School, which does not require any particular degree, though some experience or a TEFL course of some kind might be required by your employer. The students at Language Schools are usually working adults who need to improve their English for their jobs, or students of all ages who want extra lessons or help with their homework.

The pluses - no teaching degree is required and you usually will teach small groups, rather than a class of 50 bored 10 year olds.
You will teach mostly in the evenings or on the weekends.
The minuses - The Labor Dept. will probably want to see a BA or BS degree before issuing a Work Permit. Also, as most Thai Companies are required to have 4 Thai employees for every 1 foreign employee, they may be unable to get you a Work Permit or the proper visa. Working on a tourist visa is not recommended, but many people do it.

2. The other kind of teaching is at a regular school - either a government school or at a private school or in the EP program of a government school. You might want to work at a government school for a year or so, just to test your stamina and your ability to survive the horrible conditions. Normal pay is about 30K baht per month.
Private schools range from being marginally better than a government school up to proper International Schools. In order to teach at an International School, you need to be a certified teacher in your home country.

Most private schools and EP programs at good government schools, have smaller classes - 20 to 25 students, instead of 40 to 50 - air conditioned classrooms, projectors and computers in the classrooms, etc... Starting pay is usually about 40K baht. If you have a BS (or BSc if you are from the UK) you might be able to get a job teaching Science or Math. Many Teflers seem to have Math phobia, so there is always a good demand for people who can teach those subjects. As a Science teacher and a department head, I earn over 70K per month.

In order to teach in a regular school, you need a 4 year degree in any subject. This will get you a 'waiver' or a 2 year provisional teaching license from the TCT (Teachers' Council of Thailand). You can get up to 3 of these waivers... or 4 or 5 if the TCT loses track of how many you have had already, which happened to me. If you are still interested in teaching after 6 years (less if you switch schools) you will need to get some sort of graduate degree in Education - either a PGCEi or a MEd or a Graduate Diploma in Teaching. The courses offered in Bangkok vary in cost from a low of 55K to a high of over 150K and take about a year to complete.

If you have a graduate degree or a BA in something like Hotel Management, you can get a job teaching at a university which has a number of advantages (no TCT license needed) but also some distractions (which usually wear short, tight skirts). AO might be able to tell you more about that.