I lost my network connection, and my phone or sim-card has been locked, can I transfer my sim-card to a different phone after it's blocked?

Once you arrive in North Cyprus, you should be aware that your cell phone will only work for 90 days before it has to go through a paid procedure for official registration or wait for a lock. Since it's your device's IMEI that's locked, and not the SIM card itself, you can try to solve the problem by moving your SIM card to another slot (if you have a two-sim phone). Alternatively, you can use another phone whose IMEI has not been locked yet. 

Likewise, you can fly with the phone outside the TRNC and return later. Then the device will be registered as new and you will get another 90 days.