That orange cap in the first picture is probably marking a drain. And, that drain is obviously clogged.
Is there anytime during the year that the the area is water free? If this is a relatively recent occurrence, something has obviously changed. Cleaning that drain, if it is one should help, but there is something else causing it.
If there is a stream or some other way that the water in the area used to flow, check it for beaver dams. As cute as those critters are, they do massive damage trying to keep water where they want it.
You mentioned a dry ditch a ways a way. Is it possible that the water you have now once flowed to it? I would back track from it and look for any diversions or blockages and beaver dams.
Yes, you can build a pond. but it is going to take up quite a bit of your land to make a proper one. You have to dig down AND take the excavated dirt to build up the sides. But, you have to figure out where the water is coming from so that you can channel the water into the pond. Or build a sump area to pump the water into the pond.
Water like that has to come from someplace, and looking at the concrete post by the orange cover, there is no apparent water line so it is not a frequent or long term occurrence. Same from looking at the trees.
Have there been any ground movement in the area?
Sorry for all the questions, as I type new possibilities keep popping up in my head. From your pictures, there doesn't seem to be much elevation so run-off from a hill side doesn't seem to be a culprit, but there is farming. So, there could be run-off from the fields. Have you had more rain in the past few years than normal?
I would strongly suggest contacting your local AHJ and county departments to see if they can help. And do it before it becomes a waterfowl migration area and you CAN'T do anything.