Question: I'm using a tablet with Android 2.2. Is there something like `Tab` to switch to the next form field?

Answer: 
Is this what you are looking for [paid app]: <https://play.google.com/store/apps/details?id=com.vmlite.vncserver&hl=en> 

However, if you are willing to go through a lengthy process [but free], you can follow the tutorial [here](http://www.howtogeek.com/howto/42491/how-to-remote-view-and-control-your-android-phone/) to access your phone via PC.
Scrcpy is awesome!
It uses adb directly for backend and it doesn't block those remote screen restricted apps too. And since it's adb. You can remote control via same network wirelessly.

For linux users. It's available on most of package managers.