The carb diagram I found for the engine shows two carbs Walhpro and Nikki. Some bowls shown have a solenoid. It’s pretty clear my two wires are for connecting a solenoid, they are immediately under the carb and wouldn’t reach elsewhere.If the gas line goes from the filter to the carb it's probably gravity as usually there's a fuel pump in between mounted on the engine shroud. "Generally" a gravity feed system has a different fuel filter than one with a pump, gravity feed filter media has larger holes if memory serves. Make sure you have the right filter for fuel system. You will have to connect 12V to the solenoid when the key is "on" or the solenoid will not allow fuel to enter the carb. The wires "coming from the engine" could b for the solenoid OR they might be the front light wiring quick disconnect. If you have a meter, easy enough to see if they're energized from the key switch or light switch. It's curious that your replacement carb has a solenoid and the old one didn't? There is a way to force the solenoid to be open all the time, maybe someone did that. Took a quick look and that engine does have a solenoid on the carb so the wiring might be for it. I'm sure more knowledgeable folks will chime in shortly.
The fuel tank sits right above the engine so there appears no fuel pump. PO may have put both wrong carb and filter. From what I’ve read, the small disc type are for fuel pump systems. Which should be used for gravity fed? The larger, clear football shaped ones?
Thanks everyone for your replies!