I agree,
Hard saying not knowing what was involved chemically. I assume that the Acids involved were HCl added to a "Shore" brand named Sodium/Potassim Nitrate to dissolve the 10 K jewelry. All white gold, some yellow gold? Sure it was gold? , ie, some costume jewelry mixed in?
There are a lot of variables, you might get more help if you describe in more detail your process.
Harold specializes in Karat jewelry, but I'm sure is just not familiar with Shore's Products.
The silvery precipitant came down from the wash water? Usually a greyish precipitant of copper chloride will drop in a dirty solution. HMMM
I would suggest you read up un some of the testing procedures here on the site. Any refiner should feel confident using Stannous Chloride to test solutions for any precious metals. ie, maybe you should put the precip back into an acid solution and test it.
I would not reccomend PM'ing me as I am still learning the ropes as well, however, I would gladly try to help you in any way possible.
So Hope This Helps and doesn't discourage,
Nick