Should new brake pads squeak even when not applying the brakes?

Answer 1

Should they squeak? No. on a bike if they squeak you need to lower the break pads so they are inline with your wheel, if you do this and it still squeaks you need new wheels

Can they? Yes, if they are in contact with the rotor (or drum) even when the brakes are not activated. (Does the squeaking change or worsen when you do brake?) Note that this will cause both a significant loss of fuel economy and a rapid deterioration of brake pads and rotors. Look for grit or stuck calipers, and, failing that, consider the possibility of partially activated parking brake shoes (depending on your vehicle) or wheel bearing damage. You could first try applying some graphite based lubricant to the *back* of the brake shoes (never a drop on the surfaces which contact the rotor!!)-- this is sometimes supplied with the pads by the manufacturer so the clips won't squeak against the housing.

Could be a high spot on the disc or if still rust lip on outer edge rotate disc and place flat edge of screwdriver to edge of disc this will dislodge lip clean away all waste when complete ansre assemble brake caliper (all ways use Eye protection when carrying out this job )