I will take your second statement to mean the fuel solenoid clicks but the engine doesn't turn over.
In order for the engine to turn over we need to get 12 volts D.C. to the starter solenoid and then to the starter. There is a small white wire on the solenoid that furnishes 12 vdc to the solenoid coil. When the coil energizes it sends the voltage on to the starter. The voltage passes through the clutch/brake, and the pto switch from the ignition switch and then to the solenoid.
The surest way to know if the starter and battery are good is to make sure the tractor is in neutral and the deck is not engaged and short the large red wires on the starter solenoid together. This will cause the engine to turn over if the battery and starter are good.
If this causes the engine to turn over, you need to check for 12vdc on the white wire on the starter solenoid while turning the key to the start position. If you have that voltage, the starter solenoid is bad, if not you need to check for the voltage on the pto switch and then the clutch/brake switch. If there is no voltage on these switches, check at the white wire on the ignition switch.
If you need a wiring diagram for the tractor, it is in the owners manual, and if you need a manual follow these directions.
You can check for the manual online at Manage My Home. On the home page, hold your mouse over the square labeled "HOME" in the upper left of the page. Choose the option "Find product manuals" from the drop-down menu that appears.
Then enter as much information as possible in the search options. If nothing is found, check your product information for errors such as misspellings and be sure you have used only numbers and letters in the model number (no spaces, periods, etc.). The product might also be under another one of the "Category" listings.
If the manual canÃ¢â‚¬â„¢t be found there, please call the Manage My Home Member Services Team at 1-800-803-6775, between 8 a.m. and 8 p.m. Central Time. They will be more than happy to help you track down the manual.