I'm always adding new females to both of my sororities. I have only ever had issues with a couple mature females that took exception to each other, otherwise I have never seen any overt signs of aggression towards the newcomers.
I always feed my other females first, and then just empty out the newcomer at the opposite end.
I've had 11 females in a heavily planted 10 gallon tank and was fine. The amount of plants I had served both as a living filter, but also provided enough space and cover for my females.
If you want to include your platy and cory cats, I would recommend up-sizing to a 15-20 gallon. You also really need to increase the number of corydoras to 6, as they are a shoaling fish by nature, and do best in larger numbers.
For the average betta keeper, a maximum of 5-6 females in a 10 gallon is usually advisable.