ABS light is on, front brakes sticking without applying breaks, but shoes/pads are new.

You'll have to check the wiring at the wheels for the wheel sensors.Wires tend to break at the plugs.

You'll have to determine which wheel the sound is coming from and check it again. It could be something hitting the rotor or drum other than the shoes and pads. Like a brake spring or guide.
You can raise each front wheel one at a time and have someone step on the brakes while you listen too. This may turn on the ABS light however.

how much brake fluid did you remove or put brake shoes on wrong reason abs light on.check brake fluid.when replace front brakes you have make sure mastercylinder reservoir corver on then pump brake pedal seat brake shoes against rotor then check brake fluid level.

If the master cylinder is full I would suspect a problem with the ABS.

did you bleed the system after the install? and did you remeber to adjust the e- brake cable?

e-brake pedal should go farther- is either out of adjustment or cable frozen- secondly sounds like only front brakes receiving enough pressure to "activate" properly- bleed all four brakes starting rear pass,then rear drive ,then front pass, then front drive- use plenty of fluid- bleed till fluid is clean without bubbles- will that long at first- this will insure not bubbles and no moisture- if a pro valve dies,you would have more problems- pedal would be really soft,would have both a brake light and abs warning lights

Your brake calipers may be sticking to the brake rotor causing your abs sensor to come on. If it sticks to the rotor for an extended period of time, it could cause the caliper to actually weld itself to the rotor. I am assuming it is doing this in the front. If this is the case, you will need to replace both brake calipers, both rotors and a new set of brake pads. It is more economical to put the better parts back on it, if you can afford it.

Probably want to check abs sensors on the back side of the wheels. Did you have a abs light on before the brakes where done?

this front::

1. Raise and support vehicle, then remove wheel/tire assembly.
2. Remove lower bolt and caliper assembly. Position assembly aside using suitable wire.
3. Remove brake pads and shim.
4. Bottom piston in caliper using suitable tool.
5. Install new brake pads and attach shim to the outer pad. Tighten lower bolt to specifications.

this for rear::

1. Raise and support vehicle, then remove wheel/tire assembly.

1. Remove axle nut, then the hub and drum assembly.
2. Remove end shoe springs, cylinder and hold-down spring.
3. Remove shoes and adjuster as an assembly.

1. Reverse removal procedure to install, noting the following:

1. Apply suitable grease to backing plate shoe contact surfaces.
2. Install shoe hold-down pin, then assemble return spring with the pushrod shortened.
3. Pull parking brake lever fully upward. Repeat process several times.

take off brake caliper, take off your brake pads. check the sliders. sliders are on the side of the bracket. see if they are moving freely in and out. im pretty sure they are seized. that's why your pedal is soft and sinks down really fast when applied.