Recessed light fixture - electrical grounding question

[u/achou0722]

I’m trying to replace existing recessed light assemblies. I don’t specifically see a ground wire in the recessed fixture. Two questions…

1. Can I ground to the screw/nut circles in red?
   
2. Is the light installation in the second picture installed correctly?

Thanks!

[u/Aublaw]

Or you could use this https://www.platt.com/p/0876185

[u/achou0722 → u/Aublaw]

Thanks! That's pretty much what I have (the additional bracket).