40 is our immediate homestead. They rarely venture off the 5 acres in our front yard. ...
Single stationary building....
3 water sources, one for them, and a large Waterer each for our sheep and pigs. ... spring... river...
No, just regular salt blocks. We do give them some mixed into their baked and crushed eggshells.
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I think your stocking rate is too high to expect them to get all their feed except eggshells from foraging.
Fifty chickens on 40 acres is less than one chicken per acre - much, much, much less than stocking rates I see recommended. But they really can't go a quarter of a mile out from their coop to forage. They can go even less far from water.
Ranging over about five acres or less is what I usually see when people say how far their flock ranges when the flock has the choice.
Fifty chickens on five acres is also less than I see recommended but those recommendations are on managed pasture, with rotation via fencing or moving coops (usually both). And at least nearly all of them still provide a significant amount of chicken feed. Those that don't provide such feed have breeds that don't produce much even when they have access to an ideal diet.
It is possible to tell a lot about the fertility of the soil by what plants grow there. Oak forests tend to be on drier and less fertile soil than many other types of habitat. Probably, not all of your space is oak forest. What isn't (like river bottoms) might be more fertile or might be cleared oak forest that isn't.
It takes a lot of mice to feed 50 chickens for even one day, much less months and years. I get that they are also eating other things, including some of the corn fed to the pigs and sheep.
Molting in the spring is not normal; it can indicate a nutrient problem. Although illness, shortage of water, and high stress levels are also causes of molting out of season, nutrition seems a likely possibility. Especially with the egg production problem.
It may not be calories (especially with access to the grain). I don't know which nutrients are most likely to be the problem where you are. I'm still in the process of figuring them out for my area. I would start with the extension office for information on your soils and for information on the differences between pig feed, sheep feed, and chicken feed (assuming you buy pig feed and sheep feed; if they get straight corn then nevermind those feeds). Well, I would if I were trying to continue not buying any chicken feed.