The name Zarina means 'Golden' or 'Golden Vessel' in Persian,
I could see this turning into Zarinka > Zrinka
Related listed name:
Zareen
The name Zorina (comes from Zorya 'Golden
Dawn' slavinic)could also have had this Zorinka > Zrinka
related listed name:
Zora
I'm NOT SURE about this, but I think it could be possible