Goats: Ditto on fences and most everything else said.
With one pasture, they are going to get some nasty worm burdens, and the pasture is going to be torn up in a season or two. I assume the value of rotational grazing was learned very early on in history. So she needs at least two fences or she'll be wondering why her goats are all sickly. On the bright side, goats don't get equine worms (essentially- the one they share isn't a big deal usually) and vv, so they can be pastured together (if the mule doesn't beat on the goats or vv) or separate if needed. Chickens will help break up the manure and kill some of the parasite eggs/larvae but not all.
Goats, starting with the fall: That's fun times for the goats and your buck will be crazy hormonal. If he's not intimidated by your MC, your MC will quickly be intimidated by him. Any kids at this time will be a few months old. It would be prudent to slaughter and process them for the winter and to not have to feed an increasing number of goats each year. Bonus- warm furs. Downside- processing furs takes a lot of work. More than the meat. It might be best to sell most the skins, but she'll have to at least start on them or time things with a buyer very well.
Fast forward to spring and you've got a bunch of pregnant does. They will need LOTS of spring grass or some grain or possibly both. If she's got too many in the oven and not enough calories (which can happen even with enough intake if she's got worms eating her calories for her) she'll get deathly sick and in that time period has a grave chance of survival (google pregnancy toxemia for details).
If all goes well, the does should deliver well on their own. Most breeds outside our heavy ag system had to deliver or die, so problems were less common but not completely rare. Babies can be kept with mom as described above, and the more does she has the more milk she can have per day ofc.
Runts and any sickly babies will probably have to be killed, particularly if your MC doesn't have time and energy to spend on a kid that's not likely to make it.
Btw, is your MC the type to make cheese, given her talents?
On to chickens- coup them for protection. With magic it doesn't have to be anything special since the spell will keep those with pointy teeth out. Any that decide to lay eggs in the bush may or may not make it back with babies in tow. Usually they come back with up to a dozen, sometimes a lot less if snakes or illness make the clutch smaller. (Aside: I had about 5 guinea keets hatch from a clutch of over 20, and several pip. I realized during the hatching something had infected the eggs and all I could do was watch (you never help a bird hatch lest you make them bleed out. Either they have the strength or they don't) (okay, some cases can survive mild, careful help). Anyways, the ones that made it were healthy, but with crooked toes. The toes was likely due to too many eggs under one mama and had nothing to do with the infection).
Where was I? Grain is a plus, but if the goats/mule are getting mixed grain then some of it will be partly undigested in the feces (whole oats typically come out much the same as they went in) and the chickens will enjoy that and might not need their own except in winter.
In short, the more naturally your animals live, the less management (ie-time) they require. But the more time you put in, the less losses. Fences create problems along with solving them as you've probably figured out
So how is your MC going to get hay, or will she turn them out for the fall and winter (they'll need some ID marking) and hope for the best come spring? Is she going to go out in the winter to throw out hay (typically at least once a day, but could get away with less), walk the fence, and break the water? Or are they drinking from a stream?? (She'll want to keep upstream ofc, ick) Hauling water is a real PITA, and so is going out to break ice in water buckets or on stream surfaces when you risk breaking a hip on the ice on the ground.