Can I see a peacock the week of July 9th?

Yes

I was just there yesterday. They had 2 or 3 males and a female that just had babies! I could still see the shells in the nest. They were all roaming in the bird area, but they didn't seem interested in the budgie sticks

Yes you can see the peacock

Yes you can see

Yes, they have several females roaming freely around the Budgie Bird feeding, but also have a male next to the Alpacas towards the front of the parking lot

I believe so.