Those are the two places to look for serial numbers. If the tags are missing, numbers should be stamped in the steel underneath. The winch does typically block the rear of the transmission case. The only way to check that one is remove the winch.
The option for electric start pony began very early. Somewhere in the J series back in the 1940's, I believe.. Others can probably tell you exactly where.
Looking at your pictures, that hour meter reading cannot be correct. They were often broken and replaced with new ones or sometimes worked intermittently. I see your rails are worn completely down to the webs, way beyond 100% worn. That alone would take many more than 1,000 hours in any conditions. What I've seen of the wear on the levers and brake pedals also indicate significantly more hours. That isn't bad, these Cats can go tens of thousands of hours if properly maintained and serviced. Yours looks very nice, appears to have been well cared for and should have plenty of life in it, from a photograph's view.
Winch manuals are all available online from Allied, the current owner of the Hyster line. Their website has been linked from here before. I don't have it handy, but you can do a search or someone will be along with a link. They can also tell you when the D4H became available.
The tool tray under the seat is standard for all seat tank D4s of several series.
The best seats, and best investment, aren't the cheapest. John Hahn makes exact duplicates that are better quality than original. Otherwise, take your plywood backs, or make up patterns and have a cheap, nearby upholsterer make them up in black vinyl. John's can't be beat for comfort, wearability and quality, however.
Corn head grease will work fine. Any 00 (double aught) grease should be fine. Make sure you are using the correct volume grease pump with pressure release, or use a special fitting which has a pressure relief in it. Regular grease guns put out pressures in the thousands of pounds and will blow out the seals on the rollers if pumped without pressure relief.
The looped hose from the filter housing is a standard adaptation. Originally those lines ran to an oil cooler up next to the radiator core. Oil coolers are unnecessary and were eliminated from late run tractors. As the coolers rotted and began to leak, the standard approach was to cap off the lines and remove the relief valve, or as yours has, install a loop of rubber oil line to carry the flow. Your repair is appropriate and should serve the life of the tractor.
Oil filter cartridges are available from Caterpillar or aftermarket suppliers. Open your canister and the cartridges should have their numbers printed on them. They are readily available and cheap. Spin on adaptations have been done, but probably aren't worth the trouble and expense to do them.
Hope this helps some,
Pete.