The complete term for "工厂交货价EXW" (Factory Ex-Works) in English is "Ex-Works (EXW) at Factory".
If your customer requested a FOB quotation, you should include the cost of delivering the goods to the port or loading them onto the vessel in the FOB Price. The FOB Price should cover all costs incurred before the goods are loaded on board the vessel, including inland transportation, handling, documentation, customs clearance, and other charges.
As for your last question, EXW stands for "Ex-Works", which means that the seller is responsible only for making the goods available at the factory and the buyer is responsible for all costs and risks associated with transporting the goods from the factory to the final destination.