A recall listed here applies to a range of vehicles, not to every car of that model year. Manufacturers narrow it down by build date and VIN, so the only way to know whether yours is included is to check the VIN. You can do that free on NHTSA's recall lookup, or by calling any franchised dealer for that brand with your VIN in hand.
Recall repairs are free. Under federal law the manufacturer has to fix a safety defect at no charge, and there is no mileage limit and no expiry on that obligation for vehicles under 15 years old. A dealer cannot charge you for the parts, the labour, or the diagnosis on a recall repair, and you do not need to have bought the car there. If a dealer asks you to pay, that is worth escalating to the manufacturer's customer line, which is listed in the remedy text of each recall above.
Recalls do not block a title transfer or registration in any state. You can legally buy, sell, or register a car with an open recall, and sellers are generally not required to fix one first. That said, an open recall is worth raising before money changes hands, especially one with a do-not-drive advisory. If you are buying, run the VIN before you hand over the payment; if you are selling, telling the buyer about an open recall costs you nothing and avoids a dispute later.