Welcome to the hobby
Don't start throwing parts at the car, especially a new radiator they are pretty pricey.
Do the basics, like double check the timing, make sure the brakes aren't dragging, flush the radiator, stuff like that. If your radiator hoses are pliable and not leaking they are probably OK.
Fill only to the baffle in the top of the radiator, they seem to find their sweet spot after you drive them awhile. Use a 50/50 antifreeze mix with diluted water don't run tap water.
And hold her down to 40- 45 tops don't run 63
Try these things first they only cost your time. Sounds like you will do fine.You know your way around tractors and older trucks already!