I have previously stated that you should turn off the Sticky option of the bar. That will resolve your problem with the gray bar moving on top of the green bar.
For your second issue, I believe you're referring to this:
There's really no space between the gray bar and the image because that is the design of the Ethos stack as you can see in our demo at http://demo.theme.co/ethos-1/the-new-status-symbol/. You might want to switch to the Renew stack for another design. Here's the single post demo.
For the logo and the hamburger button space issue, set the Container's Flex Layout > Vertical to Center.
For more details about the Header and Footer options, please see the Pro, Builder and Element tutorials in our Knowledge Base.
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