Israel:
read this manual
https://www.yoreparo.com/electricidad/electricidad-del-hogar/manuales/5765964/instalacion-electrica-de-bombas-para-elevar-agua
There is everything explained with different planes so that you use the one that best suits your condition and although it is based on another operating voltage, this does not change anything, it is perfectly applicable to 127V
There you have 2 problems.
1. Voltage drop in the line that feeds the motor directly from 127 to 120, which although only 7V is more than the maximum allowed by international standards (5%)
2. A very important voltage drop in the line that connects the sensors to the motor which is very risky, this is solved in two ways, or by increasing the section of all the complete wiring, or by placing a contactor, the latter gives you the possibility (optional but absolutely recommended for security reasons) of handling this signal with a safety voltage (12 or 24V) as mentioned by friend Servimat1 (greetings) the latter will solve both, the voltage drop and the lack of security
you should also reinforce the line a little more to avoid those 7V drop with the cable of the immediate caliber greater than the one you have would be enough using the contactor
regards