Flying-jobs in Sweden are scarce these days.
That said,...once you have finished up your exams for the JAR-FCL, things might have picked up a bit.
As pointed out earlier, City Airline (GOT-based), are looking to expand.
Initially it will be with a couple of wet-leased Mad Dogs, but most likely, they'll try to use their own hardware as soon as possible.
You would be expected to live in Gothenburg, I s'pose, since it's a local establishment.
I'm pretty sure they'd be interested in hearing from you. Give them a call! They're a nice bunch, from what I've gathered.