Download not available after Jolla shop purchase

Hmm, this gets me wondering. Your screenshot showed that you have the paid license, not the Trial.

Could you register your Jolla Account on the phone? That would give you the option to get Android App Support and some other stuff like MS Outlook/Exchange/whatever integration. If these are missing from the Jolla Store, you are still on the Trial version.

edit: The trial version may be fine for your purposes, of course.