Hello,
1. At the top of the shop page between breadcrumbs and product grid shop filter widgets may be enabled in the Theme Settings > Shop. There is an option to keep this area always open and configure to show the custom content – HTML block
In order to show custom content (Promotional banner or other content), it is necessary to set Shop filters content type to be Custom content and choose the created in advance HTML block from the Shop filters custom content drop-down list.
Read more details here:
https://xtemos.com/docs/woodmart/widgets/
2. Can you please share the screenshot of the header from where you want to delete the categories?
3. Please read the documentation here:
https://xtemos.com/docs/woodmart/woodmart-slider/
Best regards.