[Aritaurus]

I was asked to bring everything you listed except for marriage certificates (both my parents were born in Hong Kong). In addition, they asked for the BDTC passports of my parents which contains their landing papers to Canada and also their naturalisation certificates.

You might need your father's BDTC passport because it cantains his record of landing in the United States. It will tell them if he was settled (holding a green card) in the US at the time you were born, which determines whether or not you're a Chinese citizen. I'm not sure if it is absolutely required but I would contact the IMMD and see if it's needed to establish your RTL. I was asked to present both my parent's BDTC passports when I applied for ROA/RTL.

It doesn't matter when your father naturalised as a US Citizen because either way , you were still a BDTC by descent and was once eligible for ROA.