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Start by checking SBF #5 in the fuse box under the hood. If this fusible link is good, then check fuse #33. This should be in the fuse box inside the car.
Also, check and see if the brake lights are working.
If any of the fuses are bad, replace and recheck. This is the only thing that would happen because you replaced the battery unless it shorted out the abs control module.
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It does sound like there may be damage to the control module.
If you have a test light we can check the power feeds to the module to make sure the wiring is ok.
The battery saver shouldn't make any difference at all to be honest.