Generally I find that it isn't economically viable to professionally have small transformers redone as shipping and labor dwarf the parts costs and can exceed acquisition costs of a better condition transformer.
However, the service documents are available and there isn't much you can't do with a set of screw drivers and a soldering iron and so I'd say go for it!
If you happen to be in the Western NY area, I'd be more than willing to meet up and help ya out.
Olsens kindly hosts the service documents for the 1033 here:
http://www.olsenstoy.com/searchcd31.htm?itm=640
Here is a clickable excerpt of the pictorial diagram: