Definately sounds like an intermittant earthing connection. Current only flows with a complete circuit. Break the earth return, and things like fuel guages and tachos cease to function. My electrical rule of thumb: The bigger the problem, the simpler the problem is to find.
With the higher power parking lights...They wouldn't cause the problem (if they haven't blown fuses), but be mindful of possibly melting plastic lenses and globe holders.
Good luck.
Aprilia Sportcity 125 - 2007.
Aprilia Scarabeo 250ie - 2010.
Piaggio X7 300 Evo - 2019.
3.21 l/100km