Edit the element titled: Single Post.
Beside the padding options you will see a mobile icon, click that – then adjust the top and bottom padding values. To move the title up – increase the bottom padding, and reduce the top padding accordingly.
Remove Category from home – bit of work involved here as the home page is constructed using WP Show Posts – each of those Post Lists have their own settings, including which Categories are displayed.
If you have a list that is displaying all posts ( not category specific ) then:
1. Set the Taxonomy > Category > Term you want to remove.
2. in the More Settings change the Tax Operator to Not In.
You will need to do that for each list you want to exclude the category from.