One of the issues I have with calling pearls "Basra pearls" is that they can be from anywhere, but when they get to India, they become "Basras" (maybe because of the style of the piece more than the integrity of the pearls). This is an inexpensive version of a classic Middle Eastern style necklace usually made with Basra pearls. They probably are freshwater pearls- if Dave thinks so. They really do not look quite right for saltwater naturals, which points out one of the problems of using the term "Basra". I know it is traditional and popular, but it is problematic in cases such as this. If freshwaters from China are "Basras", then anything that has visited India to become jewelry becomes a "Basra pearl", which makes the term meaningless if you want the real origin of the pearls.
The style of the necklace is very classic and old fashioned and can be seen in Bahrain as well as India. It is not a very popular style here,, but who knows, maybe there just haven't been enough of them to make it popular. As for selling, maybe eBay. I don't know if there is a major auction house near you, but it might be worth a visit to see if they would list it. If they won't, then eBay is your best bet.