I don't know if it is done this way on purpose, but in the list of
remainder menus, the entries do not show their corresponding key shortcuts
(for instance, "Ctrl+P" near "Print"). 

It's very inconvenient:
Suppose I don't know that F1 opens the help in Epiphany.  I need to check
something in the help, but the menu does not fit the applet, so I press on
the arrow and navigate to Help>Contents. Later on, I need to check the help
again, so I repeat the action. I'll never learn about the F1 key but I
should, since having to use the drop-down menu implies one click more than
pressing a normal menu (I'm wasting my time).

What version of the product are you using? On what operating system?
Last PPA version. Ubuntu Jaunyt amd64