I have been having lots of problems with my Chevrolet, all of them really expensive to be solved. First it was the transmission, then the ABS and now the fuel pump.
I had an Equinox 2005 and the cause is that the current is not reaching the pump's fuse. You should give direct electrical current to this fuse. The ABS is simply a sensor located in the tire that might need to be cleaned or changed. There is nothing problematic to worry about.