Yes, run !
After you are free outside of the country, I would suggest writting up a resignation letter with detailed explanations of the reasons why.
Write it as if you are explaining to your future employer why they cannot expect good references from this PNG airline, nor could your log book be validated with flown hours, that in reality you have flown more hours than your log book says, etc.
If you send the letter by registered mail, you will have a proof of it. Then file it all. Use this proof as a defense against eventual retaliations from PNG. Yes, if they can be that bad, they can be nasty and may harrass you till the next job. We have seen it before.
Good luck to all.