Hello Keith!
Possibly the last bike owner painted the wheels because the rust began work in it.
A rim offcentre, old rust spokes and a very spoiled drum brake in my opinion must be changed for finish the work in one time.
The cheap opcion if the drum brake and rim are not very bad is change only the spokes; clean -and polish- the rim and the drum brake
For nothing changes a paint stripper and patience, clean and polish, perhaps can help you a little tool Dremel style.
For this works I remember my grandmother said me: " Better pain of hand that pain of heart".
Best regards,
Manuel.