3. Open/extract archives from Filebox - in my experience, Filebox can do this (double-tap on the .zip, a new window opens, and there is a button for "Extract files") [........] 5. Open media files with a media player - Filebox can do this. Double-tap the media file and it opens in Media Player.
try cute Explorer
there is a hexeditor somewhere in extras-*
if filebox also has the ability to asssign a program to a filetype then it is simple to add a hexeditor to it.