What about licensing rights?

May I use the videos created by Quik for a personal use? (ex: personal blog / educational purpose / family friends sharing)
> Yes.

May I use the videos created by Quik for a commercial/promotional use?
> Yes as long as you the medias and the music used are both cleared for commercial use.
Quik's music isn't cleared for commercial use.

If you are using songs from Quik's music library in your personal videos: 
We pay copyrights so that our users can have those songs in their personal videos.
However be aware if you share the video on social networks if may not be that simple since Facebook / YouTube / Instagram don't support individual licences.

Facebook / Instagram:
Those platforms have a binary way to detect copyright materials: if you upload your video and used a copyrighted music that they have on their list (even if it's from Quik, even if you've bought it) then Instagram will take down your video and Facebook will partially mute it.
> You can appeal to get your video back - only if you are using Quik's musics.

Here it's a bit different. They do not take down your video but they put ads on it. The way the Quik music agreements are set up, the music rightsholders are able to claim and monetize on the backend on user generated content, they just can't block or take down. There's nothing to be done on user side. 
Users aren't able to monetize or make content commercially available using music from Quik. 

To avoid this issue: simply copy and paste the link of your video. For that choose Share via Email sent to yourself or Copy Link so you will get the Quik link of your video. 
Sharing your video as a link will work / uploading it as a file may not.