4
This site says no:
The Golden Visa for Greece is issued for five years and can be renewed indefinitely as long as you maintain the investment.
The government webpage also says that, in legalese:
The duration of validity of the residence permit is for five years and is subject to renewal for an equal period each time, provided the implementation of the ...
2
Technically, unless you got notified otherwise, your green card is valid and you can use it for entry (source).
Lawful permanent residents (LPRs), refugees, and asylees will continue to be able to use their Non-citizens Registration Card (Form I-551), issued by DHS, or other valid evidence of permanent residence status or refugee or asylee status to apply ...
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