I have pulled and bottle raised many, many kids, I can say from experience that using normal baby bottle nipples are the worst when it comes to new kids who have never had a bottle.
Go out to the feed store and get these
http://www.tractorsupply.com/tsc/pr...ritchard-style-nipples-pack-of-2?cm_vc=-10005
If they are acting sluggish I would bring them inside your house to keep them warm, maybe give a small amount of nurtidrench to keep them perky.
You need to tie that doe up and either milk her or put the babies on her. Tie her collar, put a rope around her belly, and tie both legs. On the legs, tie above the hock so when she kicks pressure will be applied to the tendon, when this happens its almost impossible for her to kick again.
Do you have any goat friends or breeders you could call to get some REAL goats milk? Your vet might know someone.
What is the temp of the momma doe? You really need to be looking at her.
I don't think you caused this. When we dam raise I still pick up and move the kids constantly. Moving them shouldn't make the dam reject the kids.