"9c064f09d669c4a7ec0da2bb54c16a…"
Setting aria-hidden might be the easiest way to deal with this particular issue.
"Popular" and "newest" are not marked as control elements like buttons, combo box, or a radio button so they look just like plain text to my screen reader. It is experience that suggests that hitting enter on them will produce any result.
The search button is not labeled and it reads just as "button". What you call a quick bar (a guess) is a line of buttons represented as links but with no text inside them and no apparent function.
PS: Great idea for the site btw. I'm bitching so much only because it seems as something that I might use and wish to have as comfortable as possible.