You can take things to the EU courts only in specific cases. You have to find out if it's an applicable human rights issue (it isn't). You can try to get the European Commission interested (good luck with that). Etc. Even if an EU court examined the case and made a decision, Sweden wouldn't necessarily implement the judgement.
>After the supreme court of Sweden you can take things to the EU court.
The EU doesn't have an appellate court; unless there's a question of interpretation of EU law (and that's for the court to decide, not parties to the case) there's no basis for making a referral.
