My 1959 3800 had all the above problems, and I found that new brake drums are simply unavailable. Unless yours are heavily scored or way out of round, doing any more turning than a very shallow cleanup cut on them is probably not a good idea. Used drums will probably be oversize already, so if you find some smooth-looking ones, measure them carefully before handing over any money- - - -they're probably machined way oversize.
Jerry