I've been to Santorini & Mykonos and would highly recommend Santorini. Great places to eat and beautiful scenery (amazing sunsets). Took the ferry from Parea to Santorini, then ferry to Mykonos and rev flight back to ATH. Mykonos has a party island reputation but I much preferred Santorini. Stayed in Oia in Santorini with great views of the Caldera. For Athens, you shouldn't need more than 3 days to see the major sites. If you're into gyros/souvlaki, there are plenty of really good places in Syntagma Square.
I've never been to Malta but a quck check on flightconnections.com - All flights worldwide on a map shows 3 flights/day LHR-MLA on Air Malta that should work with a flight across the pond as well as flights on BA, Air Malta and Easyjet from LGW but not sure if DL still flies to LGW or just LHR. From AMS, Transavia and Air Malta are options. From ATH, Ryanair and Aegean show 3 flights/week each. From MXP, Ryanair has 3 flights/wk and from FCO, Ryanair, Air Malta and Alitalia have flights to MLA.
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