Ah Ha ! So it is clicking when you try to start. I'm fairly sure I know the problem. I did not realize that these 2650's could have the same issue as is pretty darn common with the smaller BX series. Your problem is not getting the full robust 12v to the solenoid. There are several ways to prove it (and to start the tractor.) First (easiest) hook a batt charger to the battery which means you have 13.8v there instead of 12v & it will probably start right up. Has nothing to do with the battery. Somewhere in the chain of safety gadgets you are losing voltage be it at cable connections or one or more of the safeties. Second way is to run any clip ended jumper between the battery positive term and the solenoid input wire (may have to strip it a bit to connect.) Touch that clip lead to the solenoid input wire with the start switch in run mode. It should crank then.
There are several threads and many posts about this disease. I am told that Deere sells a relay kit to bypass all the various voltage drops and put solid 12v to the solenoid. It happens with their small machines too. These relay solutions use the weakened "not quite 12v" headed normally for the solenoid and then use that weakened voltage to trigger the relay with a hot line direct from the battery. If you are interested (after proving to yourself that is the problem) get back to me and I will post a circuit diagram that produces a permanent fix using any handy relay. The neatest fix I've seen however is one guy simply wired up a start button bypassing all the safeties, etc. and putting 12v direct to the solenoid input wire. Who among us really uses the key for fending off thieves anyway ?
OBTW I have had this happen many times on my
BX2200 -- get off it and stop the engine to go do something and come back to find it won't start.