Yes American Standard would have string through body & be Polyurethane gloss finish.
Check the bridge, HW1 does not have the 4 holes for string through.
Ask the seller for the serial number & send Fender a email for proof.
With the (non standard) hardcase, chrome covers & thumbrest (not quite in the standard place), I'd say it's been modified to look like something else, but definitely a HW1. Shame about the extra string tree
I've no idea what the going rate for Fenders is in Stockholm but I'd say if it's what you want, it looks in perfect condition, with the extras it's not [i]too[/i] dear, if it plays as good as it looks
Mine has barcode/0061286-950 under pickup which gives this Fender Service Diagram. [url="http://support.fender.com/service_diagrams/bass_guitars/011-1300Bupg3_SISD.pdf"]http://support.fender.com/service_diagrams/bass_guitars/011-1300Bupg3_SISD.pdf[/url]