Josh - I was having the same issue since probably June, 2017 release. It was annoying not being able to drag and swap the sheets. I was not aware that you need to hold the sheet for few seconds before you can drag it. Thanks for the note on this issue. I looked at your other problem, and I believe you can only swap sheets in the app that is not published. I checked the published app and I am experiencing the same issue. I don't remember if that was possible before or not. That may explain why published app is blocked from reorganizing the sheets in the app.
I would like some of the Qlik IT guys to shed a light on this issue and if my assumption is correct?