The trouble with these old radiators & rad. shops is they clean them up & then find out the core is rotten. It cost you & you &still don't have anything. If you want strick originality you can have it recored. Like rfs says it is expensive. These new aluminum radiators are rugged & cool good. I have one on my 56 & it works good. You have to be real careful as the fins bend real easily. If you want to get by for a while put a can of Bars Leak in it. This will stur up some comments from other Bolters but I've done it for years & haven't blocked anything up.
On the rear end, check around the pinion seal. That is usually where they leak.
George