At the risk of repeating myself. You can forget about the J1 visa if you already have a CPL. You can also forget about it if you have more than 50 hours post PPL issue.
If you don't have a CPL and more than 50 hours post PPL with the J1 visa coming to an end in 18 months you can now totally eliminate that option as well all the courses at Bristow are fully subscibed to and they are the only FTO who do JAA licenses.
As to getting a job in Europe with a fresh CPL and no experience your chances would be somewhere between slim and non existant.
You also talk about heading to the UK to do an FI course and needing to convert your licence. You mention that you are training for your CPL presently. What CPL licence are you doing ? Are you actually on a formal course? In what country? Sweden? If it is a JAA one as I assume (you state you will be looking for a job in Europe), then you wont need to convert it to do a FI course in the UK.