Ok you have another tool now..here is how I would go about it. right or wrong this is what I would do.
I believe fuse 1 the 60 amp fusible link to be good you you would have nothing, no light no buzzes etc.
find the start relay listed as relay 2 I think it is on the firewall find the 3Millimeter orange wire going into it coming from connector 003 and make sure it has 12 volts standing on it at all time.. even with key off. The the non moving contact of the start relay. find the .85 millimeter Light Blu? =LB wire coming from the PTO safety relay going to the start relay and with the hydrostat range safety switch or clutch switch if its a gear model. made by being in neutral or pushed in. and the key switch turned to start position you should have battery voltage going into the high side of that start relay coil.. If you do, and the coil does not click the contact to send power to the "bendix" solenoid to engage the starter, (measure for voltage headed to the starter solenoid. which is a 3MM red wire going to connector 12) you have a bad starter relay, replace it.. If you have no voltage on the light blue wire than head back towards the PTO safety relay the G and F terminals and determine if the safety relay is pulled up by either the automatic or the manual position of the PTO switch. it should be relaxed and the switch should be in neutral to start. Now go back to G and F the PTO safety relay, which if relaxed is just passing voltage straight thru and keep going back to connectors 061 fed by a Blue White .85MM wire or maybe black white, I have never found their wire color legend, but something blue brown, black with a white tracer this heads for the safety switch of the hydrostat range selector or the clutch, of course it should be straight thru, and then on up to the ST terminal on the key switch. It should have battery voltage on it From the AM terminal when you are in start position.. or you can start there. and work forward or.. from what you have described with dim lights and buzzy relays.. I am thinking it is a broken high resistance ground cable or positive cable.. I would yank the heck out of both and and wiggle well and would not be suprized to see one come off in your hand. Let us know your method of attack, and what you have found..
James K0UA