I did a lot of work for PARC in the mid nineties and found them excellent.
The requirement for the 3 t/o's is probably from the Korean Licencing Authority. To avoid having to pay for airborne time in a real aircraft most client airlines wanted this as a pre-requisit.
Of course it's not much help when the same client airlines finish with you in October leaving you out of work for the winter, only to then expect you to be current on May 1st! Still that's the nature of contract flying.
Try finding out if you can do these in a simulator and then get yourself base checked around Feb/March at your own expense. I always made sure my licence and medical were all up to date at all times. It seemed to make a big difference to my 'sellability' and all expenses incurred were claimable as expenses in employment under UK tax laws.
Good Luck.