Why bother? Linux has some fantastic PDF readers. PDF Studio Viewer by Qoppa Software is something I prefer of Acrobat reader even in Windows. I assumed when OP mentioned Adobe, the creative suite of apps was implied.
PDF Studio Viewer works fantastically well for this application of PDF forms. You're not doing anything wrong, Document Viewer kind of sucks at handling PDF fallible forms, especially of they use javascript.
For Linux, Qoppa Software has a free viewer that can do annotations and form filling. (Also available for Windows and Mac, but those platforms have many other available options.)
It can be configured to remember the view settings for a PDF, including rotation. (Preferences -> Display -> Restore last page and view when reopening a PDF) But it won't edit the PDF to permanently change the rotation.
There is a link to buy the pro version on a splash screen (which you can disable) and in the Help menu, but otherwise it doesn't normally advertise features you don't have.
The paid versions add the ability to rotate PDF pages (as a permanent edit), digitally sign, modify forms, etc. Those buttons are on toolbars that just don't show up in the free version.
Check out PDF Studio Viewer the free open source version of its editor PDF Studio which was voted one of the Best Linux PDF Editors You Should Try by MakeUseOf.com
You can download the reader here: https://www.qoppa.com/pdfstudioviewer/
You should check out PDF Studio Viewer it has a great text-to-speech feature. It is totally free to download, you can check it out here: https://www.qoppa.com/pdfstudioviewer/
I understand, although Qoppa does offer a free version of it called PDF Studio Viewer. It doesn't have the capabilities of PDF Studio but it can be very useful and offers tools with the ability to annotate & markup PDFs, fill & save forms, and it contains advanced print & search options.
You can check out more of its features here: https://www.qoppa.com/pdfstudioviewer/
Well if you click on the PDF icon, you should be able to download the files – it works for me. The used "PDF portfolio" format is sadly a bit special. Recent Adobe Reader versions can open it, but under Linux I had problems. I found PDF Studio Viewer (not FOSS, but at least free) which can open and render the files.
(Beats me why they didn't simply concatenate the PDF files forming a submission into one regular PDF file; that would have been simpler and more convenient for everyone.)
Depending on your requirements with PDF you may need proprietary software for that. Digital signatures, interactive forms and such might not work well in the open source alternatives.
Master PDF or PDF Studio (Viewer), or maybe Foxit Reader.