[Thumper]

Nice deal! And welcome to C-riders

This looks like a 163-FM style pushrod engine. It is a good dependable Honda CG clone. Cleveland Cycle werks used this and derivatives on their creations. Verify the model (behind the gearshift. Presumably the engine/stator are OK, but knowing the engine model would be good.

Ignition? You mean the keyed switch, right?

Does the CDI unit have a part number on it? It may have a DC or AC type CDI unit. AC units get no power when you turn on the key. DC units get 12V at the CDI when you turn on the key.

Interesting battery placement back there! Can you get the battery to hold enough charge to see if the CDI unit is getting power when you turn on the ignition?

If the battery can hold some charge, see which lead at the ignition switch is getting power when the battery is connected, then jump it to the lead that goes to the CDI unit if it does (DC type CDI).