2007 a4cab tail lights stay on even with the fuses removed and the car is off indicators don't work properly and hazard warning light switch flickers in time with the brake lights. And the headl

There is a good possibility that the hazard warning and directional signal lights have nothing to do with the starting or operation of the engine. There are many things that might cause the car to fail to start. The battery must be fully charged, and in good working condition. No corrosion on the terminals. good solid connections. When you turn the key the starter motor should turn the engine over. If that works the carburetor will need gas. If you have gas and spark, the engine should run. Hope that helps.
Turn signals work with the tail lights and parking lights on the front. You should turn on the Head lights and check to see if the tail lights and parking lights come on. You will also want to check to see if the flasher is plugged in. All the light bulbs must be plugged in and working to operate the flasher for the turn signals. good luck

check for any blown bulb or fuse

Its possibe that ypou have independient FLASHER device, one for hazard and one for turn signal; check backside of fuse panel and replace it.

That should be on two different fuses, but everything goes thru the turn signal switch.
The switch might be faulty. A mechanic would check for voltage there.

If the lamps and bulbs are ok I would initially suspect the hazard warning light switch, then the indicator switch, the multiway connectors and then the wiring.
There is generally only one fuse for the indicators and as one side is working it can be assumed power is reaching the indicator circuit.

I had this problem with my 2007 Honda CRV -- all the lights worked EXCEPT the tail/running lights and the license plate light. The other tail lights worked -- brake, reverse, indicators, and hazards. Front headlights also worked, but when the headlights went on the back tail lights did not (not to safe for driving at night!!)
The fuse was #15 in the interior fuse box (under the dash driver side) with the label "small exterior lights" ( also check fuse #19 labeled "small lights main"). The cause of my problem, I believe, is a bad or lose wire in my license plate light.

The turn signals and the brake lights go through the hazard switch. Try cycling it a few times and see if that solves the problem. If the fuses are good and the 4way's don't work, I would suspect that switch.

its the signal switch on the colunm NOT the hazard switch