The two issues could be connected, but they may not be. You may have an old battery that needs to be replaced, and this weak battery is causing additional trouble and throwing warning lights. If the battery is old, I would replace that. If not, then I would take the car in.
Here is additional information on the ABS light: http://repairpal.com/abs-warning-light
The ABS relay that needs replacing. It is making the ABS pump run continuously, draining the battery and eventually kiiling it. This is a common problem for Subarus built mid to late 90's, and some models beyond.
...antly while driving and braking for about 15-30 minutes of driving in traffic. After that, the ABS light will come on in the dashboard and then the brakes will stop pulsating and work great.