It appears that the
edit link is disabled on every post for me. Is it possible to be edit banned, and if so why would I be?
The answer is in your profile's about box:
I am a grammar nazi and will hunt down your Thanks! at the bottom of your posts.
Almost all your recent edit suggestions were just removing "hi", "thanks" and similar from posts, and nothing else. Those were very minor edits, and most of them were rejected as such, which lead to the edit ban. I don't want to discourage you from editing, but please try to make more substantial edits. Your suggestions need to be reviewed by at least three people, and their time is as valuable as anyone else's, no point in wasting it to review an edit that just removes "thanks".