How to use fcitx in wslg on win11?

WSLg on Windows 11 can run Linux GUI.

The writing method in Linux GUI (e.g. gedit) is different from the Windows input methods

I installed fcitx, but there are several problems:

1. the icon doesn't show on the Windows toolbar panel, so cannot toggle different input methods by clicking icons

2. some keyboards don't work. Wubi and Polish keyboards works, but Hebrew, Greek, and Russian are still using Polish alphabets

3. how to autostart fcitx? When starting Linux GUI, I should manually start fcitx, this is boring. So I try to install a Linux desktop LxQt, but the desktop cannot fill the whole screen (I will ask in seperated post for this).

So would you please help me to solve these problems?