The middle and the far right post holes....how do I get these out of there? Build a scaffold with a smooth rod so I can pull them out? Tie balsa wood on them and flood the hole? Dynamite?

This is the middle post - the concrete crown is much wider - the hole must have been dug with a shovel and not a post-hole digger. This one I haven't completely dug out yet.

This is the first hole I was digging to put in a new post. Surprise! The previous post was in concrete - and it just broke off. The concrete is 3 feet down. This hole is dug deep enough to where the concrete can be pushed side to side - but I can't pull it up!

Here is the broken fence. A post is missing from the middle, and at each panel where the fence still stands.