Whenurhappy,
in 1947 awarding islands that sat only a couple of hundred metres off the Turkish mainland to Greece
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Those islands and islets belong to the Dodecanisus complex which was Italian soil before WWII - when Italy surrendered they were occupied by the NAZIs as you are rightly said. In other words Greece took over from Italy with Turkey having nothing to do with it.
Regarding a gap between Greece's sovereign air space and FIR boundary that's a major mistake of the Greek government - they should have brought territorial waters and air space boundaries to 12 miles a very long time ago.
What is annoying is that Greece keeps announcing those violations which are a fairly common occurrences like after work drinks on Friday nights. As a matter of fact as
Whenurhappy correctly points out that those violations are parts of a custom in the area. In fact a former Minister of Foreign Affairs in Greece said once that it would be much better, in financial terms for both countries if just Turkey announced the flew in the disputed parts of the air space and Greece announced the intercept that flight.