I've been here for quite a few months, but I recently found just a few days ago that I never had a "Delete Post" button. Why is that?
thats because you started the thread and it was the first post in the thread. If it had one then you could potentially be left with a thread with no posts in. (if you want to delete a thread, you need to get the mods to do it)
The "remove" button is normally next to the modify button above.