I will start with Gialitakis. The Greek name "IALITAKIS" but spelled in Cretan dialect and "Dimotiki" GIALITAKIS. It is a very rare name.
Maybe your "Relative' in Rethymnon can check a few things for you.
He should visit the "Rethymnon Public Library" (center of the city) and ask to see the following books:
Kritologika Grammata Vol: 9&10, and copy page 184. (Paraskevi widow of Ioannis Gialitakis, from the Village of Prasa, Rethymnon)
Kritologika Grammata Vol: 14. pages 33 (Zacharia Gialitakis, Oplarchigos) & 184 (Demitrios Gialitakis from the Village Perivolia, Rethymnon).
They are 100% his relatives Demitrios Gialitakis was living in poverty and received support from the Church the 29th of July 1898.
Also, to check if there are any other records, especially about Zacharia. There are a few individuals interested in Genealogy and Cretan history, so he may get help.
Zacharias Gialitakis was a leader of a rebel group and signed a letter addressed to the British representative, withe others, dated May 1897.
There is no record of the family existing before 1850. I assume there were a group of orphan siblings.
The previous record dated 2 Nov. 1699 is Tzortzis Gialinas (Zorzi Ialino), resident of the village Geni Kioi (Neapolis in Greek) of the province Merambelo (East part of Crete).
There are no other records, that I know, from Crete. There are numerous books about Cretan names, Historical Books, Tourckish Court records, but neither Gialinas nor Gialinakis are in it.
So, the villages to check are: Prasa in Rethymnon, and Neapolis in Merambelos
I will check the rest of your request later.