I realized Sergei that you might have some misconceptions re divorce/court/payments etc.
1. You do not have to do ANYTHING (pay, help, talk to her or whatever) without a court order in Singapore. This mean your ex's demands for $$ compensation can be safely ignored. It's really important you understand this - it means her lawyer, a policeman, a Muslim Imam etc have NO legal authority to tell or order you as to what you should do (of course unless you have committed a criminal act in the case of the police), only the magistrate or Syariah judge has that authority in Singapore.
2. Vice Versa she can ignore your claims until heard by a court.
3. You should immediately begin disentangling and shutting down your ex's access to accounts, passwords - while married in Singapore there is a sort of a defacto assumption that a spouse can incurr debts on behalf of the other. She will try to apply for Credit Cards in her name (supplementary), withdraw money using forged cheques etc. Minimize what she can get to quickly.
4. You don't need to rush to divorce - but as your leaving Singapore and will lose residency here soon I would. It's very, very complicated to get divorced from someone if you don't share the same residency (i.e. live in the same country). Even if you set it up now and have to come back to do the final hearing I would.
5. As your wife is Muslim - if she has deserted the house you MUST make a police report stating she has gone missing without permission and note the date she left, that she left without your permission and is untraceable. Because Muslim women are the
property of their husband in Singapore - this prime evidence of her unfaithfulness and good grounds for a very fair divorce. You have to do this at the police - a letter from a witness is not enough. See if you can explain it to a Malay guy at the NPP - he'll understand better than some Chinese dude.
I not lawyer/teacher/CPA.
You've been arrested? Law Society of Singapore can provide referrals.
You want an International School job? School website or
http://www.ISS.edu
Your rugrat needs a School? Avoid for profit schools
You need Tax advice? Ask a CPA
You ran away without doing NS? Shame on you!