Unranked games (the ones you call "quick games") don't have any heart on the left, like this:
![](http://s13.postimg.org/m7tei1i47/unranked.png)
Ranked games have a red heart, and competitive games a golden one, like these two:
![](http://s24.postimg.org/7tmo07hsl/ranked_and_comp.png)
Unranked games don't give points, ranked games give points just for your overall score on the lobby and site, comp games give you points for the current competition for a trophy and for the overall for the lobby and site too.