For Marshall Islands - they have introduced a new law for Economic Substance. If you will not have staff, Headoffice etc. there they can fine you (50K$ or 100K$):
Eugene Yeung, Director, and Johnson Tee, Senior Manager, Corporate Tax Advisory practice of KPMG China, overview the new Economic Substance Laws and explain how regulatory changes in the Cayman Islands and the British Virgin Islands impact Hong Kong businesses with holding companies in those...
csj.hkics.org.hk
This applies also on MANY other tax-haven jurisdictions (and those that didn’t not introduce it are BLACKLISTED by the EU).
For Singapore banking - they are closing accounts also for LOCAL companies.
Singapore's central bank is raising its guard against money launderers increasingly using onshore shell companies to mask their transactions, a senior official said.
www.reuters.com
For offshore companies, I got the information they are sizing down the exposure so it is a matter of time until they will close your account (IF you will manage to open it), so think twice before you travel to the other side of the world for that (and travelling is a MUST. no way for opening a bank account from distance).
VERY difficult times... I know...