Answers
Τhe Greek Residence by Investment Golden Visa Program is addressed to any foreign investor and offers through alternative routes of investment, starting from min. amount of 250.000 euros, the benefits of European residency with free movement among Schengen area. I do not consider it is related to political events as long as the criteria of the program are met on the investor's profile and investment choice. However, this is a subjective issue and it relies on your own discretion.
No, there is no problem. You can apply.
No influence at all; you may apply without any fear.