Jose
You have not mentioned the reg of the aircraft or whether its operated as an AOC aircraft in EASA Land or private
Remember the CJ1 is a single pilot aircraft below 12500 ibs What is your position going to be with a pure type rating and no jet time flying single pilot as Captainor is it as an FO?
Just check you can record the hours and whether the insurance will allow you to fly left seat ?
Pace