I've got a couple of suggestions about padeyes.
One - if you've got a good hobby shop within driving distance, you may be able to find some excellent photo-etched metal eyebolts in the model railroad department. (Grandt Line and Detail Associates both make beautiful, extremely small ones in plastic, but don't bother with them for this purpose; they look great, but snap when any strain is put on a line tied to them.)
Two - it's ludicrously easy to make your own eyebolts from wire. A good, cheap source for the wire itself is stranded electrical wire. A quick trip to Radio Shack will get you a spool of some stuff that, separated into its individual strands, will be plenty fine enough - and will last the rest of your life. (For really, really fine copper wire, buy a pair of cheap , Walkman-type earphones and strip the wires from them. That stuff probably will be too thin for your purposes.) Use a small drill bit (#80, maybe) as a mandrel; clamp it in a vise and twist a piece of wire around it, like a pigtail. Drill a hole in the deck (or bulkhead, or whatever), superglue the pigtail into the hole, and you're in business. If you've got access to the underside of the deck, spread the ends of the pigtail apart underneath and glue them to the bottom. That will eliminate any chance that the eyebolt will ever come loose.
I've got a soft spot in my heart for this particular kit. My father was a junior officer on board a Haskell-class APA in 1945; I vividly remember the day back in the fifties when the family made a pilgrimage to the hobby shop and bought the then-new Revell Randall. (My brother, who's seven years older than me, was entrusted with the task of building it.) When I saw this thread get started my first thought was that onyxman was commiting a minor form of sacrilege. But this is turning into a beautiful, ingeniously-executed model of an important class of ship, and I'm eagerly waiting each new step in its progress.
I wish Revell had modified the kit into "civilian" format. The under-representation of merchant ships is a major gap in the plastic kit industry.
Youth, talent, hard work, and enthusiasm are no match for old age and treachery.