If the display function does not work, replace the meter unit.

Check 3-6: Neutral Indicator Light (LED) Inspection
Meter Unit Circuit (ZX1000J Model)Technical Information - Electronic Steering Damper (ESD/ZX1000JD/KD models)
1) Overview
This model has an Electronic Steering Damper (ESD)
[A]. Unlike conventional manual adjustment method of
Kawasaki, damping characteristics are adjusted by the
electronic control unit.
2) Purpose
Designed to offer increased stability at high speed without interfering with
light ...
Oil Pump Removal
Remove:
Coolant (Drain, see Coolant Change in the Periodic
Maintenance chapter)
Engine Oil (Drain, see Engine Oil Change in the Periodic
Maintenance chapter)
Sidestand Switch Lead Connector [A] (Disconnect)
Bolt [B] and Water Pipe [C]
Water Pump Cover Bolts [D]
Water Pump Cover [E ...
Fuel Hose Inspection (fuel leak, damage, installation condition)
If the motorcycle is not properly handled, the high pressure
inside the fuel line can cause fuel to leak [A] or the
hose to burst. Remove the fuel tank (see Fuel Tank Removal
in the Fuel System (DFI) chapter) and check the
fuel hoses.
Replace the fuel hose if any fraying, cracks [B] or ...