Will this pump work with my existing washer hoses and connectors?

Yes — this is a direct OEM replacement, so your factory hose connections and reservoir mount points line up without modification.

Do I need to drain my washer fluid before swapping the pump?

You don't have to, but it makes the job cleaner. Either way, you'll disconnect the hoses and electrical connector, swap the pump, and reconnect. Basic hand tools only.

Is this a rebuilt pump or brand new?

Brand new. Ships ready to install with no prior use.