Are there Sahih/Hasan hadith on the benefits of wearing Aqeeq and Fairuzaj gemstone rings in the right hand?

Walaikumussalam
Yes it is recommended to wear in right hand in last two fingers if one has more rings then can wear last two fingers of left hand as it is mentioned in riwayat that Imam Ali Raza as used to wear in both
For more details you may see Tahzeebul Islam. Written by Allama Majlisi.
Wassalam