Does hobby lobby sell model rockets, and model rocket engines, igniters, launch pads, and flame proof recovery wadding?

Yep, they do but it's not as much as a specialty store would has that caters to that.

Yes, I will saw all that stuff, while browsing, I even picked-up a kit for my son's scouts to play

They only sell basic items. They cater more to beginners when it comes to models and other hobbies. They have more stuff online then in the store. So you can try their website. If it's not on the website it definitely won't be in the store.

They sell little models, but nothing more than that unfortunately.

I don't think so

No

I just went and picked up model rocket engines, igniters, and waddings.