All Scag machines have a model number and a serial/vin number.
Providing this information allows us to find your specific machine manuals on the Scag website and better diagnose the problems with your specific machine.
New batteries always need to be charged prior to use.
Charging system basics:
The stator on the engine and under the flywheel puts out AC at around 30 volts with the engine running. This is the input to regulator/rectifier.
As part of the AC is the wrong polarity, the regulator/rectifier blocks the wrong polarity and allows the correct polarity of the AC to pass thru, this is the function of the rectifier.
The correct polarity electricity passes thru and gets regulated to the DC voltage range determined by the regulator portion.
The R/R output, which now is pulsating DC, passes thru terminals in the machine to engine harness connector, then to the 20 AMP fuse in the yellow wiring.
From the fuse, it goes to the power in terminal on the back of the key switch.
When the key switch is in the on position and the engine running, the charging system output passes thru two contacts internal in the key switch, back out the machine electrical harness, thru the 20 AMP fuse in the red wire, to the positive battery cable connection on the engine start solenoid and finally to the positive terminal on the battery.
The ground portion of the electrical system from the battery is connected to one of the engine mounting bolts as ground.
Items to quickly check:
Both fuses and the holders that they mount into.
Engine electrical connector to the machine electrical harness.
The electrical connector on the rear of the key switch.
The terminals that are on the grounding wires connecting to the engine mounting bolt.
From here a multimeter will be needed to further check the rest of the related electrical components/switches/connectors.