Yes, I see the lice near the eye. Those are lice eggs on the base of the feathers.
She has Scaly Leg Mites, but in the photo I also see what looks like possible Bumblefoot between the toes, so take a closer look at that when you can.
I know it's hard to catch some hens for treatment, the easiest way to get them is when they are roosting. Either get them early in the morning before they get up or take them from the roost at night.
You don't mention your weather, but I assume you are in the US and it's summer. If you do bath them, I would be inclined to do it early, this way they don't get chilled overnight. Some people do bath their chickens to help rid of lice, if that is what they can do for the time being. A little dish liquid in your bath water should do the trick for lice. It won't kill the nits (eggs) but will help give them temporary relief until you can get the Permethrin in the coming week.
Lice and mites have a different life cycle. For mites you would repeat treatment in 7 day intervals while lice you need to repeat treatment 2-3times in 10 day intervals. To kill the ones that hatch. I would probably repeat a couple of times every 7 days since you are seeing red mites too - those feed on blood and weaken a chicken, lice are more of an irritant, but a heavy infestation can make a chicken sick too.
The oil on the legs is a good way to treat Scaly Leg Mites, if you can find it, Nu Stock Cream also works very well, but it's a little pricey, imo. Other oils you can use are coconut oil, castor oil or even vaseline - basically you are smothering the SLM
Hopefully getting the SLM and taking a look at that foot, she will start walking better. I feel that those 2 things are making her uncomfortable.
Thank you for the photos and videos. They are pretty girls.
