Measure the one you need and call Tommy at Affordable, Ronald at Ranch Hand, or Eric at Keno Tractors depending on where you live, any of these guys can get you set up. I'd by two in case you bend/mess one up, they're cheap enough. A socket the same size as the plug will do for install. For the oil I use Shell Rotella 15-40, you'll have to flush it and change the filter after running it for 20 minutes or so, so order a couple filters with those core plugs. Get some radiatior flush, don't need the super high strengh, run water and drain, run the flush till hot and drain, flush with water one more time and drain. Then fill with “Final Charge” coolant and the system will likley be set for the life of the tractor. Don't know if you have a Car Quest nearby, they are running a special on the Final Charge right now.
Don't remember if it was Tommy or Ronald that nailed your problem down, but whichever one of them it was I'd throw'em a few bones and order from them if it was me.