1) Enabled 2 cache plugins. If you make changes of the element styles then you need to clear caches and browser cache every time you change anything. Or disable caches till you finish all the changes you need. We can do nothing with this from our side.
2) As I can see Elementor does not generate correct styles for the mobile version.
Before https://prnt.sc/1tbu63o after I Regenerate CSS & Data https://prnt.sc/1tbtx8e using Elementor option https://prnt.sc/1tbubc1 and cleared cache. Can’t tell you why this happens. Contact Elementor plugin support about this issue.
3) What do you mean by “mobile color of theme”? Are you talking about mobile header text color or bg color? Explain in more detail, please.
4) Static blocks that you use for the desktop version are not always suitable for the mobile menu. So, we would recommend you to go to Appearance > Menus > create separate menu for the mobile without static blocks but with the default suitems. Choose this menu in the Mobile menu element of the header builder.
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