I think for the opening company in Cyprus there are some hurdles which come into your way... Cyprus government is getting more strict regulations if anyone wants open a company in Cyprus living outside
I think you do need to have either a passport copy or a driving licence. These are the primary documents required. Along with it you are also required 2 to 4 copies of your photo. pretty much it is all..
I highly doubt that you can get your company start-up in just four days. There are many legal consequences your company have to do that..Without passing them you wont be allowed register the company in just four days