I am not clearly understanding your desire.
However, I believe that for your second question you want to use the Advanced Filter and use the Option to Copy Results to a new location.
The other method available would be to use Power Query.
Do not that Filters generally work on Values and NOT Formatting. A Cell's color is a Format and not directly supported as a Filter for Advanced Filter or Power Query.

Excel Magic Trick #244: Advanced Filter Extract To New Sheet (Word Criteria) - YouTube