I have been working on a late 60's Atala. It has cottered cranks with a bent spider arm and likely bent chain rings as well.
Chances are that you will be just fine with your present components which will require a wee bit of TLC, coupled with a bit of understanding (read the whole procedure before starting to do the repair) and elbow grease...
Using one of my
Legnano Grand Premio bicycles as an example, this is
how I deal with bent spider arms and bent chain rings...