People call the sweaters both boleros and shrugs. I think you will find both words used in Ebay listings. The bolero may be more popular since this was the trendier word in the last few years. It's like capris versus petal pushers or pocketbook versus purse versus handbag. You'll see listings under all of these but will probably see capri or handbag more since these are more current words.
For the long coats I need more information. Is there a certain material you are thinking of? Or length?