Yes, that's what it's saying: "they scatter away the blue ones, which then bounces off the molecules and reaches our eyes".

It's written as if the UV and infrared are scattering the blue, which is not correct. Everything scatters off small particles, but shorter (blue) wavelengths scatter more (as the 6th power of the frequency), so most of the scattered light is blue. The details matter somewhat, i.e if the sun were a bit cooler, there'd be less blue in the incident light to scatter and you'd see something somewhat greener.

Yes, but the thing about UV and IR rays is a red herring.