A proper solar or wind installation will cost *much more* than anyone in their right mind would want to spend on a recreational chicken coop
Fortunately, it sounds to me like all your needs can be fulfilled by off-the-shelf items, two of them pretty inexpensive and the third not all that bad compared to buying solar panels and batteries and stuff.
If you want to extend daylength for egg laying reasons (which is not always worthwhile, and even in the situations where it *does* give you more winter egg production, there are still pro and con arguments) get yourself the cheap little solar path lights on stakes. Set one up (may or may not require some minor disassembly) so that the solar panel is outside the coop facing S, and the lightbulb part is inside the coop. These are pretty cheesy products, and tend to produce only somewhat dimmish light (fortunately that's all you need) and only for some few hours after sunset, so they will "turn off" automatically each night when the battery charge poops out. You may need to experiment with exactly how it is mounted, and a large coop may need more than one, but in most cases this will do the job fairly effectively for cheap when there is no electrical mains service available.
If you don't care about extending daylength, just want to be able to turn on a light and SEE when you go out there after dark, your two best options would be a headlamp (very useful) and/or a solar shed light from Home Depot or wherever. The latter is decently bright; however I have yet to see anyone who's figured out how to put a timer on one, hence my recommending it for chores but not for day length extension.
For running electric fence, all you need is to buy a solar powered fence charger
Yes, they are disproportionately expensive, and be aware you WILL have to replace the battery periodically just like in a battery-operated one (the battery keeps the fence going at night and in very cloudy weather, do not let any idiots tell you that solar fence chargers don't have batteries or that the batteries don't go bad). But certainly in terms of *simplicity*, if you are going to have to buy a fence charger ANYhow, just buy a solar one and there ya go.
Good luck, have fun,
Pat