I’m not familiar with the dual monitor, but have run into the cursor offset when starting a new game.
My solution was relatively simple, change the game in the settings to windowed fullscreen, match the resolution with the desktop, restart perhaps a few times and that should clear the mouse problem.
The rub comes in when the two monitors use two resolutions and you can’t define which monitor will appear ingame.
Two solutions come to mind. Match resolutions or transfer the game to the correct game through windows. Again, no experience there.