I know that there is a shortage of FI's, at least at the flying clubs. The problem for you there, is that most (if not all) clubs require you to be fluent in swedish. The level of spoken/understood english varies a great deal among those that train for their PPL/IR/NQ. From absolutely "silch", to those that speak and understand well.
Airline jobs in Sweden are scarce and as long as SAS hasn't made their minds up, not a whole lot will happen. FlyMe, as you might know, went "bust" a few months ago and they were practically the only ones hiring.
Ironic isn't it!?