no I don't have a problem with Greece or for any country for that matter.
No you have to look at where you realistically think your going to get work for the first time. After you have experience it doesn't matter so much.
And not only am I a EASA ATPL holder I have another 3 in the collection. The EASA licenses does me all round Europe apart from French operators. The other 3 depends what reg I am flying. I don't keep them current with medical LPC etc.
You get them off the back of your original license. Which is another thing not all EASA countries licenses are equal in the eyes of a none EU country. Being trained in the UK my license conversions have been all a LPC and a local Air law exam. Other guys I have worked with, with in theory the same EASA license had more hassels/ hoops to jump through than I did. English language exams, type technical papers etc. The Scandinavians didn't have problems either. The med country pilots did, which caused much amusement with Italian waving of arms and hands.
Oh and if you have a greek license you won't get work in Turkey.