Equestrains among us: three questions

I’ve been bored here at work today, browsing all sorts of horse classifieds. (Just dreaming!) Some of the ads include the phrase “own son/daugher of ____ (fill in the blank).” What does that mean? I couldn’t figure it out by the context of the ads.

Also, in the ads for Freisians (REALLY dreaming!), they would sometimes have a reference of “PREF” or “STER” next to the horse’s name in the pedigree. Eh?

AND … is it true that the term “red/strawberry roan” has been replaced by “chestnut sabino”?

Thanks!