Hello,
I have been looking a long time now how to get an FE job and i think it is almost impossible in our days to get one as a beginer.
The easyest way is to to get an FAA licence. There are two ways, either with a CPL/IR and then you take the FEX exam, or with 3 years A/C maintenance experience + an A&P + 5hours training at an FE station + the FEX exam. Then you need a type rating.
To get a Jaa flight eng licence you now basicly need both a JAR66 licence + all 14 ATPL modules.
I hold myself a JAR66 B1B2 +PPL and was once motivated to take the FEX exam(with is very easy) but when you look even on this forum you will find out that there are already many unemployed experienced FEs around and all the offered jobs are for experienced people only.
I hope this helped, good luck anyway,
Oligoe