I think most people would advise you to get some teaching experience in the UK first and then apply to legitimate international schools in Korea. If you come to Korea immediately after qualifying you probably won't be able to land a job at one of the aforementioned places and will end up working at a hagwan or public school along with unqualified people on lower salaries.  Those people tend to go back to their home countries after a year or two and get out of teaching, while you have already chosen it as a career.

I think most people would advise you to get some teaching experience in the UK first and then apply to legitimate international schools in Korea. If you come to Korea immediately after qualifying you probably won't be able to land a job at one of the aforementioned places and will end up working at a hagwan or public school along with unqualified people on lower salaries.  Those people tend to go back to their home countries after a year or two and get out of teaching, while you have already chosen it as a career.

+1 Get experience first if you want to work at legitimate international schools, which is what you should be aiming for. Some good international schools; https://www.kis.or.kr/
https://www.chadwickinternational.org/
https://www.siskorea.org/


**If you are just curious about living/working in Korea look into the TALK program, if it is still alive.  http://www.talk.go.kr/talk/talk_new/intro.jsp

Take a look at SE Asia. Schools here are all scrambling for teachers. International schools start at around $1500-$2000 a month. The cost of living is lower and the food is way better and less expensive by a mile, especially fresh fruit and veggies. Nicer weather and friendlier people too.

Take a look at SE Asia. Schools here are all scrambling for teachers. International schools start at around $1500-$2000 a month. The cost of living is lower and the food is way better and less expensive by a mile, especially fresh fruit and veggies. Nicer weather and friendlier people too.

Where in SE Asia?  When I lived in Phuket I was friends with a Brit who taught math at the main international school in Phuket and he said he was paid the same as if he were in England but dealing with a Thai cost of living.  A close friend taught at the Taiwan-Thai International school in Samut Prakan (outskirts of Bangkok) and he was making the equivalent of around 4 million won a month in his first year.  He said the tier 1 school teachers made a lot more, like at Bangkok International School.  A hell of a lot easier to find housing down there as well. 

Just tell them you want something in the middle like say 3000 US.  I'd say you'd live well there on that amount? 

OP, just avoid recruiters and agencies in Korea.  In fact, try to avoid Korea altogether . It has a bad reputation, for many reasons. 

Finish your PGCE, indeed.  Then, go from there. 

You've got a few very good things going for you.

1 - You're British, the reality is that you're going to have a bit of an edge over a Saffer.
2 - You're young and are on your way to getting properly certified
3 - Being female can definitely count when it comes to the job market for positions teaching younger kids

A TEFL course (not online) can be done over a weekend, it's nothing and it's always worth having. Some employers will nitpick about it, just get it done and put it on your C.V. A CELTA might be another option, but probably redundant and expensive, particularly if you have a PGCE.

You can certainly get a job right now, with your current qualifications, but I'd advise against it. Let's say you decide to apply for a job in Korea today. You get it and fly out next month (hypothetically). You work for a year, have a nasty experience with your hagwon and/or find an offer for a better job. Sadly, you don't have the qualifications so you have to fly home and finish your PGCE. I'd finish the PGCE now. That way, you've always got the opportunity to land a better job and you'll probably be presented with more options after arriving.