Hi johnW-8 ,
1) can TVC edit custom post types?
Type can create custom post types
http://wp-types.com/documentation/user-guides/create-a-custom-post-type/
If you are going to edit existed custom post type, which created with other plugins/theme, please try
convert existing custom types and fields to Types control
http://wp-types.com/faq/how-do-i-convert-existing-custom-types-and-fields-to-types-control/
2) you can use Views wordpress archive to customize your category archive pages
http://wp-types.com/documentation/user-guides/normal-vs-archive-views/
Hope it help