A lot to this situation is about oil and gas reserves off the eastern coast of Cyprus. Turkey doesn’t want anyone getting into this, unless they get a cut. Cyprus has a deal going for themselves only.
At least one of the Greek isles was for sale some time ago. Greece has had chronic fiscal difficulty. Why don’t they just buy them?
What you said.
The rest of it may be true to the extent that Erdogan sees himself as the Caliph of the Caliphate and every country in the region and even elsewhere seems to be choosing sides in case there is a wider war coming.