Does the FC LED come on when you use just a battery (no USB)? Maybe you plugged the ESC servo connectors in backwards?
If that is correct, you need to set the ESC signal protocol (PWM490, PWMSYNC, OneShot*, MultiShot), output banks, min/max/neutral correctly (output page).
The easiest thing would be to get a working configuration file from somewhere, but if you were flying OP before, that would put you back using OP. OP works, just not as current as LP.
Also consider ESC calibration and neutral setting.