Hey manu ,
First of all, happy new year! Good questions 🙂
The first question is really easy, if you are in the dashboard and you have a group with two or more buttons, you should hide the Menu button
on both deskop and mobile. Then, in the group-style settings, you can alter the space between the buttons.
Your second question, after publishing your changes, did you see your other changes after around 5 minutes? If not, can you let me know the site? Then I'll take a look for you!
Hope to hear from you soon 😎