I can't log in because I can't use the Jagex launcher. For some reason, the game closes and doesn't open again.

You should try and run the osbot jar in your terminal

> java -jar osbot.jar

And then you will potentially see an error message that you can post here.

You can also install
https://github.com/Adamcake/Bolt

and then use the env variables to launch the client with a character selected. Bolt saves the credentials somewhere.

 

.env("JX_DISPLAY_NAME", display_name.as_ref())
.env("JX_SESSION_ID", session_id.as_ref())
.env("JX_CHARACTER_ID", character_id.as_ref())

If you dont mind trying to compile a rust program then this one works as well. You could use or modify 
https://github.com/aitoiaita/linux-jagex-launcher
You can change the
run_runelite_with_jagex_account in daemon.rs
function to run osbot instead of runelite

Command::new("java")
.arg("-jar")
.arg("/home/user/osbot.jar")
.arg("-autologin")

This way you can just type in the terminal "osrs-launcher" and then select an account and it will work.
For the login process to work you'll need to follow this as well https://github.com/aitoiaita/linux-jagex-launcher/issues/3