Ruined my logo and menu (Need help with Brooklyn theme)

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Hello guys!

I tried centering my custom logo with code and it messed up my store. I use Brooklyn theme

I would like to center my logo proportionately and put the search / cart icons to the right like >

Also, would like to put the rest of my menu options (home, contact, tracking, etc.) on the left like >

My website is Any help is appreciated. Thank you!