Ok Diego,
I reckon you have a genuine 1953 B33. Both the engine and frame numbers are from early 1953 and this suggests that the bike left the BSA factory like this. The B33 is a much more sought after model than the B31 and the price comparison between the two models shows this. The B33 is worth a lot more.
I would suggest that you contacted the BSAOC in the UK and get a dating certificate for it. This will tell you the exact date that the bike left the factory, which dealer it went to and will confirm the engine and frame numbers. It is a nice item that can be framed and put on your wall. You obviously don't have any paperwork for this bike so you might need proof of age (date of manufacture) when it is finished and you try to register it with the Spanish Authorities. Check out the "Machine Dating Officer" at
www.bsaownersclub.co.uk Also try to get a "Spare Parts List" for your bike. This will show all of the individual parts and give you the relevant part numbers for each item. It will be easier for you to ask for the correct spares if you have the BSA Part Number. Try Ebay for this, they are available as paper booklets or CD's.
Spare Parts.
I'm listing some websites that you can check out. These will show you what parts are available.
www.lightning-spares.co.ukwww.DragAnfly.co.ukwww.burtonbikebits.netAlso C&D Autos is good but they don't list a website. Their email address is
canddautos@gmx.co.ukAll of the above do a mailing service but there are others in France, Belgium and the Netherlands that may supply parts with cheaper postage. Maybe somebody from the continent reading this could advise?? You might even have a supplier in Spain!!
Good luck with the project and don't forget....just ask if you need more help. I'm sure you will.
Beezageezauk.