I think that your suggestions where listened by the developers because
both functions were introduce in 2.0.7 where two buttons are available
at the top in touch pad mode. One for show the keyboard when ever you
want to type, and another to long press the mouse.
Version 2.0.2,
which may have been the version you were using, and the only available
version in f-drone, was supposed to show you the keyboard when ever a
text input is selected on screen, or more precisely in the address bar
of your browser, at least that's was is described in the faq, but it
wasn't doing it for me either.
What I ended up doing is installing "Hacker's Keyboard" available in
f-droid and google play. That keyboard has an option called "Show
Permanent Notification" witch will add an icon in the notification area
that will allow you to make the keyboard show where ever and when ever
you need it, meaning, you can use it to make the keyboard show while in
Gmote.
The reason I'm not using version 2.0.7 and it's not available in
f-droid is that the source code was never published by the developers,
and last update was made on 2012 so that probably may never happen. Hope
for San I-GNU-cio that I'm wrong.