Dịch - Greek-English - Πλακα σου εκανα ελπιζω να το καταλαβες.Το...

I didn't get what you mean by "(I) make them wish me"

make them wish me happy birthday or happy name day as it is a custom in Greece, but the text does not say which it is of these two.

It just says that he called his firends on the phone and made them wish him, and I do not know if I should add happy birthday or happy name day as they are two different celebrations.

That is why I did a literal translation of the given text.

In that case, I'd change "wish" by "congratulate"

OK that could work! Thanks great suggestion.