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How's the paint/condition of the rear bumper?
Only thing I can think of is that the 12v battery has to be disconnected when doing the brakes to prevent any cels from coming on.
Not sure how good they are, but there are visor extender attachments all over amazon/ebay. edit: The 2012+ camry visors look similar in shape,...
The ballasts are a common problem on the 2nd gen from what I've read. When they are going bad, you usually have to turn the headlight switch off...
Might be the hid ballasts going bad. Also, are your headlamp lenses foggy?