Quit a life in EU and find a job in Southeast Asia

We are a couple from Slovenia, Europe and we would like to quit our life here and move to Southeast Asia.

My boyfriend is 26 years old and currently has a job here in Slovenia. He finished a Bachelor degree of Business Administration in College in the USA, and also played basketball for a college team. Before enrolling to study in USA he passed a TOEFL test. As an ex-professional basketball player he could also train basketball or since he is exellent in english he could teach English as well.

I am 30 years old, unemployed with a Master's Degree in Agriculture and also a senior year of Master's study of Ecology and Biodiversity.

A few years ago I went to travel around Malaysia and Borneo and I really fell in love in that part of the World. Since then I have an undescribable feeling that I have to go back and try to make a life there. It is not because of money, it is because of nature, people, tropic climate, food. I am prepared that it will be tought to get a job there as a foreigner.

During my study I gained experience as a kindergarten teacher, babysitter, phone operater and administrative secretary. I was thinking about getting a job as an english teacher in kindergarten or in school or teaching Biology. Of course it would be my wish to work in my profession (Biology, Ecology or Agriculture), for example in national parks, research institution, etc. One option is also that I would do a final research for Master' s degree on an university in SE Asia (maybe it would be easier to find a job afterwards), but when I was sending an email request I didn't get any answer,
We already sent job applications. Response is not very good so far but we also decided to buy tickets and go to Kuala Lumpur, Thailand and Indonesia and try to find a job there.
I would like to ask You:
Is it easier to find a job in Southeast Asia online or at location?
Which english certificate makes it easier to get a job as an english teacher there?
Is it possible to get a job even without a certificate and if you are a non Native speaker?
Which certificate for English teacher is more recognized in SE Asia ( TESOL, CELTA or TEFL)?
How much is the certificate course if you want to take it Malaysia?
Which web sites for finding jobs in SE Asia do you recommend? (Until now I found Monster and Jobstreet)
How hard is it to get a working permit/visa? Is this taken care of by the employer or by me?

We are not picky and we would even do other jobs. We are focused on Malaysia, Singapore, Thailand or Indonesia.
Does anyone have similar experience, any tips are more than welcome.

We would like to thank everybody in advance for the help.
Natasa and Mark