That’s a nice bass you have. I’d say Purple Heart for the top in your photo. Not sure about the body core wood, looks a little light with a dark grain, so maybe something other than mahogany. You might want to start a post in the showcase section under Series I. Congrats on your new to you bass!
It looks lighter than mahogany to me, too; maybe oak? Cherry? Poplar?
As to the refin, that's a tough call. If it were from "relicing" or other abuse, I'd say go for it - especially as things like that don't seem to hurt value on Alembics like it does on other "vintage" instruments - but that looks honest playing wear, which (while subopitmal) is a whole 'nother smoke.
But congrats on the score, welove; beautiful fiddle!
Peter (who also loves cats - especially barbecued......)