Hello Gay Woodley...
Car batteries are dangerous... (I'd rather douse myself in gasoline & play with matches than work on a battery)
Several things need to be done to lay the groundwork for GOOD TROUBLE SHOOTING:
Modern cars (yours) can act pretty squirrely (alarm trouble) if the battery (or ground) connections are dirty, oxidized and/or wet... Going further into "a sophisticated" investigation without at least a look is pointless... and disconnecting the battery (while messing with your radio (might regain a level of sanity for your VARIOUS CONTROL UNITS/MODULES (ENGINE, BODY))... but I seriously doubt your tail-lights are related
hard wiring fault... check grounds too)).
White lithium grease can reasonably "PROTECT" an electrical connection... but if it is heavily corroded or oxidized... it must
be carefully cleaned (it can be quite caustic immediately at the battery and EXTREME CAUTION
is warranted (eye protection, gloves & lots of fresh water (if things go terribly/explosively
wrong (to save skin & eyes))).
That (battery check) being done... you will need YOUR vehicle SCHEMATICS and a volt/ohm meter (see below) to find if your OPEN.
ALTHOUGH it is best to BUY your own
... Your schematic (wiring) diagrams are available (free) from BBB Industries (also "some" at autozone.com... not quite as comprehensive... (registration required at both)).
includes some quite excellent Technical service bulletins (TSB
Hope this helps!
BBB Industries Premium Alternators Starters Power Steering Products
Save 20 On Online Ship To Home Orders Of 100 Or More