4)User hits the next button to see the page---get/post ?
GET seems reasonable, but POST is certainly a possibility.
6)User hits a back button on the browser---get
The browser may retrieve the page from the cache without accessing the server again. If the browser chooses to get the page from the server, then whatever was used to get it before will be used.
8)User makes a radio button selection---get/post?
A form submission will generally be done using a POST.
9)User refreshes the page from the broswer refresh--get/post?
Whatever was used to retrieve the page in the first place will be used.