Mechanic's mirrors are cheap and generally findable at O'Reilly's/NAPA and even Staples/Office Depot stores. This one has LEDs in it https://www.amazon.com/Telescoping-Lighted-Flexible-Inspection-Viewing/dp/B01D4QMUVI/ref=sr_1_3?c=ts&dib=eyJ2IjoiMSJ9.oeJKi9HsB7O5as99RFVLU-bjUm7CPiSVVcIm83aeuAjiM...

Ugh. I think you found the outer envelope of automotive problem probability.

Maybe part of the petcock for the radiator. Looks like it broke off, throw it away.