I booked my United and Fiji Airways flights completely separately so they were not on a single ticket/itinerary where I could check my bag though all the way to Nadi.Thank you @Joneill for your input.
Why did you have to retrieve your bags in LAX? Did you request that from United to ensure that they were in your possession to hand over to Fiji Airways staff? My flight into LAX is with Air Canada; my expectation is that they would be checked right through to Nadi--I would avoid having to pick them up in LAX.
Does Fiji Airways have kiosk checkin or did you have to line up to speak with FA rep?
I just got in the line at the Fiji Airways counter as they need to check a few documents: Passport, Vaccine card, Covid Insurance and the printout of your scheduled post-arrival Covid Test appointment. As a result, I don’t believe you can use a Kiosk for check-in.