Might want to look at this article, basically it describes how someone who's property had been broken into repeatedly was told by the police to contact the local medborgardet (I don't really know how to translate this word, a sort of community organisation that perform police-like duties. In this case they do things like patrol the streets. Can have connotations of vigilantism but I don't think that's the case here.) because the police's resources were occupied by the refugee crisis.
http://www.svd.se/nar-polisen-inte-langre-kan-skydda The police also seems to be bleeding personel http://www.aftonbladet.se/nyheter/article21737822.ab
In personal experience I don't have a whole lot to say, I'm a bit of a shut in to begin with and now I'm in a fairly closed off studying environment. Someone I know who works in my municipality tends to complain a lot about the pressure though and also been upset about feeling the need to go to another town for healthcare because the local health services are overburdened.
On a less reliable note a female friend of a friend was apparently harassed by some immigrants and there's also been people sneaking around checking out houses and breaking in locally and probably some sort of sexual assault in the local 7-9th grade school (the authorities are very secretive about it and that's generally how it is with crimes of the sexual nature involving children). Though to put the latter 2 on refugees or immigrants is pure speculation but I'm bringing it up as an example of the fact that there has been created a tendency among some in my social circle to put the blame on immigration as the go-to thing.
Generally in the community I see a lot of segregation, not just between Swedes and relative newcomers but between different groups like Somalians, Kosovo-Albanians and Turks. I'm honestly not sure how much we've really received from Syria. I think it might be especially bad here compared to for example a more populated town because in this village there's a bit of an "everyone knows everyone" going on and as children it was everyone's parents knows everyone's parents. Even Swedes from other parts of Sweden would be outside of that and here we're dealing with people from entirely different countries.
One bit of expressed frustration that I've noticed is people who used to vote Social Democrats have instead started voting blank. The Social Democrats are traditionally pretty strong here since it's a bruksort (basically a small community centered around a dominating industry, like an ironworks)
Kind of a rambling comment but those are some of the things which came to mind.