- On the beta create entries thingy, "Sticky to top of journal" is a checkbox. If I uncheck that box and save, nothing happens: the entry is still a sticky. I have tried on desktop and mobile, but I was using Safari both times.

Assuming you mean when editing the entry after initially posting it, this looks like a bug to me. Can you report it on https://dw-beta.dreamwidth.org/13896.html so things about that page are in the same place?

- When editing display options in account settings, there are multiple options for IDs or URLs of entries to be sticky. Is it possible to create a way to reorder them by using arrows or clicking and dragging? I totally understand if that is a feature that would be more trouble than it is worth to include.

Maybe, but I can't evaluate the effort required to implement it, or whether it would be practical without Javascript.

- Is the CSV/XML journal exporter the best free option for downloading journal entries? I ask because the FAQ describing it hasn't been updated in a few years.

There are (or were) clients that can do that too, but I have no idea what their current status is.