They are normally installed so the split-ring "lock" washer is against the nut, and the flat washer is between the split-ring washer and the surface. This is to prevent damage to the surface. It appears they did not provide any flat washers, is that correct?
It appears they provided locking nuts, the kind with a piece of nylon or fibrous material in it. So you should be good.
However, I'd like to add some content about split-ring "lock" washers.
Both the Germans in the (I think) 1930s and NASA in the (I think) 1960s determined that split-ring spring washers, aka split-ring "lock" washers, actually speed the loosening of a nut under vibration when no other method is used of locking the thread in place.
This link contains quotes and a chart from the NASA paper. The chart on the last page is quite illuminating.
http://hillcountryengineering.com/wp-content/uploads/2011/10/Split-Lockwashers-Separating-Myth-from-Truth.pdf
If you want a deeper read, here is the 100 page NASA Fastener Design Manual.
https://ntrs.nasa.gov/citations/19900009424