ABS lock and brake light comes on

Shaking is usually a sign of a front end problem or balance problem with the tires. It could also be a bad tire as well, try putting the fronts in the back and see if it goes away. As far as the other problem, have your battery checked, but make sure it's fully charged before you do so. Most auto parts stores can check the battery. Also check yoru grounds going to the engine and body, make sure that they are clean as it may not be making a good ground causing the problem. If you disconnect the battery, everything will have to be reset like clock/radio, etc.