@lostcausevinyl: Hello there,
1. Please post in your site URL and let me know how much would you like to extend the height of header image.
2. Yes, it is possible to have header images on different pages.
Go to => Appearance => Customize => Header Media => Enable On => Entire Site, Page/Post Featured Image.
Then you can change the featured image on your individual pages as that will show up as the Header Image in that particular page.
3. To change the title of Category or Tags page you will need to create a child theme and do a little bit of customization. Let me know if you are familiar with child theme customization.
Hope this helps you out!
Kind Regards,
Skandha
.
