It might all be related if there is an internal short in your TIPM (totally integrated power module), aka the fuse box directly behind the battery. If the TIPM starts to go, the door locks and windshield wipers start doing crazy things, base on what I have read.
But, it may yet be a coincidence. A wheel speed sensor or loose wire could cause the first problem, and a short in the brake controller could cause the last. The door lock thing is weird though.
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2008 Liberty Sport 4x4 Automatic
Jeepin By Al 4" Lift Kit
BFG KO2’s 245/75R16
Full MOPAR skid plates
Rock Lizard Skink Super Sliders
AtTheHelm Front Recovery System & Roof RackM116A3 Trailer build thread: viewtopic.php?f=72&t=77997