Wow! That is a good list. I don't have much to add and think I might add some from yours to mine. I think these are the only ones on my kidding list that aren't on yours and maybe some thoughts on different things you can use instead.
For absorbent I usually just use paper towels and towels. Feed bags and other things can make to much noise for some does. And puppy pads can smell.
Flashlight - my head lamp, lamp, flashlight. Extra batteries somewhere. Have a place to hang lamp in kidding stall. I love my lamp. Love, love, love it.
Olive oil, in squirt bottle. A good natural lubricant that the mother won't mind if it gets on baby.
Alcohol, I like the little pads that make it easy to wipe down the whole tummy button.
Scissors, bandage scissors with blunt end so I can't poke anything, super sharp for cutting.
Soup, unscented and as natural as possible
Warm water in bucket - I keep this bucket where the warm water is for access.
Exam gloves
Hair tie, for me
Having long hair I need to make sure I can keep it out of the way.
Bottle and nipple - Human baby bottles with taller nipple. My kids have always liked them better.
Thermometer - a human child rectal works very well for goat kids
Blanket: baby(s) and mom. If mom gets worn out and needs help staying warm.
Collar and leash, place a snap on the end of the leash or collar makes it easy to snap mom to fence or somewhere for quick securing.
Cord for assisting birth. Have a soft cotton clothes line.
Heated blanket - Love this for chilled kids. They can lay on it and it gives off heat and mom can keep licking them. Also great to wrap them up in it for a warm. Like having towels fresh out of the dryer yet always there.
Then I like to have a place inside for bottle babies or in case it gets to cold outside at night for newborns. For bottle babies then I don't have to go outside to feed them at night.
Tarp
Crate
Shavings
adjustable dog pen
I place the tarp down on the floor and turn up the edges. Crate goes inside and dog pen around but inside tarp edges. Then down goes the shavings which smell great and are very absorbent. A safe place for kids and they can go in the crate to sleep.
For the med kit you could also consider adding multi vitamins, vit C, and a green drink. I used a human green drink made from vegies and fruits for a doe that went off food.
I place my kidding kit in a tote that I can carry. Stays clean easier and keeps everything more organized then a bag. I also put everything into its own individual bag. Keeps it clean if it is dropped while looking for something else and I only have to clean the bag not the whole individual pieces between kiddings, if it isn't used.
And to finish, don't freak out all the whole long lists, lol. Most of the time you don't even use everything. Kiddings are really fun and such a blessing to see babies born. Hope you have a joy with yours.