From my experience, Brake Hold doesn't use the eBrake.
The eBrake engages the rear wheels "parking brake" which is a separate system than the hydraulic brakes. (you can hear it engage and disengage)
Brake Hold maintains brake pressure (as if you are physically holding the brake pedal down.) If you have a squeak, it might be that your pads and/or rotors have developed an issue where the pads are vibrating in the calipers.
To fix this you can:
1. Apply brake lubricant to the back of the pads, OR
2. Sand surface of the pads lightly
3. Have rotors turned and refinished (sanded)
Alternatively, you can have the dealer fix it under warranty as your brakes shouldn't be squeaking with little usage as we see.