esshup, I was service manager for a JD lawn and garden dealership for years before I opened my own shop. I am quite familiar with the 590 used on your tractor, as well as the 611 used on later model 345's. As you probably know, verify that the linkage to the throttle shaft is still hooked up, also check to see if the throttle plate inside the carb is still attached to the shaft... I've seen them fall off and be drawn into the engine. I don't want to hijack this thread, but if you need some long-distance help, let me know. I have all the JD service manuals... going to a family reunion in a few minutes, I'll check in later.
Tony