ABS and Traction control?

So this will happen when the front or rear wheel bearing hubs go out, this is because the reluctor ring is not aligned with the ABS wheel speed sensor. This makes the ABS module think it cannot control the braking system which lights the ABS warning light. Do you have the code number? It might tell us which wheel is having an issue. Also, you can raise the car up and check for play in the wheels, do you hear a humming while driving? If so, try to see where the noise is coming from, this can tell us as well.

https://www.youtube.com/watch?v=Pb6nXV-iamI

This guide can help you jack the car up while holding it with jack stands:

https://www.2carpros.com/articles/jack-up-and-lift-your-car-safely.

Please go over these guides and get back to us.

But does that cause the brakes to clench on one or two wheels? Why would it do that?

The codes were P0344, P0340, P1000, and P013C.

These are engine codes, please start a new thread if you need help with those. You need to use an ABS system scanner; a regular engine scanner will not work.

It looks like the ABS module might be bad if two wheels lock up. Please go over this guide:

https://www.2carpros.com/articles/a-comprehensive-guide-to-fixing-automotive-brakes-locking-up

Please go over this guide and get back to us.