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1. Check the current draw (amperage) with meter, not lamp. Then try to isolate the draw by pulling fuses.
2. High beam indicator is controlled by BCM based on the dimmer switch position HI/LO/FlashToPass setting.
Check the output wires at the headlamp switch, test for +12v with meter:
Pin#20 RD/OR color, +12v with HI beam and FlashToPass
Pin#18 VT/OR color, +12v with LO beam
Headlamp HI/LO beam circuits are each controlled (spliced) together. One of your headlamp plugs/wiring might be miswired.
Check the wires at the headlamps, test for +12v with meter:
HI beam = +12v on RD/OR wire
LO beam = +12v on VT/OR wire (center pin)