Remove Categories in header

Is there a way to remove categories AND menu from header?

I put in a header image, but it repeats itself plus “uncategorized” shows up in the header. Is there a way to eliminate this from happening?

I prefer not to have a menu at the top.

BUT if a menu is required, then how do I prevent my header image from repeating itself?

The above site is my “testing site” so that I can figure these options out before going “live”.

Thanks

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