List Product Titles & Categories

Hi, I’m new to woocommerce and have been trying to do a lot of searches for my questions. I haven’t been able to find many answers. I’m sorry if this is in the wrong place.

I was wondering if there is an easy way/shortcut to display my products in a listing with no thumbnails, just product titles.

Also, a couple of other questions I had.

Is there away to list the categories in the same way? Just title, no thumbnail.

Is there a plugin to display more or all products on the backend product page?

I was looking for search dropdown menu plugin/widget. First Dropdown [Category] Second [Sub Category] Third [Product List]

Thank you in advance!