Look at working for a handling agent. Varied work, meet people from all countries over the world, working with mostly young people and the opportunity to boost your wages with overtime (if you're that kind of masochist). Get to do W&B, Flight Planning, Gate Dispatch and get onto flightdecks every day. Also LHR closed at night so you may not work that many nights.
I know Globeground and Swissport are regularly looking for people, and believe me, a handling agent is the best place to start as you get more varied experience than anywhere else. Larger companies also pay better and give better benefits.
Don't assume a FAA license teaches you everything. But with that and relevant extended experience you can eventually find yourself on a nice tax-free salary in the Gulf!
good luck!