Should be fixed in 7+ Taskbar Tweaker v5.6.

It's possible for some extent, see the following answer:

https://tweaker.userecho.com/communities/1/topics/287-ability-to-run-application-or-even-better-trigger-a-media-button-on-clicking-on-empty-taskbar-space

Thank you for the suggestion. This was already suggested:

https://tweaker.userecho.com/communities/1/topics/318-7-taskbar-tweaker-settings-in-context-menu

Closing as a duplicate.

Sounds like this issue:

https://tweaker.userecho.com/communities/1/topics/592-taskbar-inspector-not-remembering-path-with-invalid-chars

Closing as a duplicate. If you meant something else, please leave a comment and I'll reopen it.

I replied to your email.

As far as I know, you're wrong - hovering over the start button doesn't open the start menu, not after a short delay and not after a long one. I don't know why it happens on your computer. Either you click on the button accidentally, or you have some other customization software which adds this functionality, or perhaps you enabled some accessibility feature.

I'm not sure I can help you with this unless you can provide more details that explains this behavior on your computer.

The website served 5.5.0.6 because the file was cached. It should be 5.5.0.7 now, please try again.

Please try 7+ Taskbar Tweaker v5.5.0.7 beta which I just released. It should fix both issues.