i wouldnt have used the soap. I would use just a tiny bit of neem oil diluted by a lot of water. I think i used like .5 tsps to 32 ozs. cant remember it was a while ago and i stopped using it. Are you indoor or outdoor.?
No soap wont hurt your plants and yes your supposed to use dish soap as a emulsifier for the neem oil, I use 6 teaspoons of neem oil to 1 teaspoon of dish soap per gallon and have never had a problem