I don't speak German. Are you saying that 7+ Taskbar Tweaker doesn't run at startup for you, even though the checkbox in the settings window is checked?
Also, please specify your Windows version.

Fixed in v4.5.

Fixed in v4.5.

Fixed in v4.5.

Completed in v4.5.

Looks like that's an issue with your local configuration, not with the tweaker.
You have a restriction for applications that can be run.
Google for the error message you're getting for more details.

What do you mean, the exe can't launch?  What happens?  Do you see an error message?  Please provide more details.

I cannot reproduce the issue.
Perhaps Chrome (you meant the browser, right? You wrote "chrom", which looks like a typo) is running as administrator?
Please see the following report:
http://tweaker.userecho.com/topic/308231-cycle-between-taskbar-buttons-stops-half-way-in-windows-8x/