ls-4 why go to flight instructing and then looking for a job on a jet when you can go straight to the jet! sounds like adding a step that is not needed in the first place.
if you have no job by all means find any job that keeps you flying!!
but if you can get that jet job as the first then go for it i say!!
i dont think there are many other jobs on jets other than ryanair/easyjet ctc deal around at the moment for cadets.
if you get on a turboprop it seems to be a career staller at the moment as fr/ez only want cadet anyway!
good luck with the job hunting as i certainly wouldn't want to be in that situation in todays aviation market!