Is it safe to drive my car when service abs lite comes on the dash board plus service trackion

Probably lost a wheel speed sensor as those drive all of that

It is NOT SAFE to drive your vehicle when the BRAKE and ABS lights are illuminated simultaneously.
I recommend that you have the vehicle TOWED to a repair facility for inspection, as you may find yourself with NO BRAKES, and UNABLE TO STOP.

can you do me a favor just unplug the abs module lead, and check that part first then get back to me on here. it is very rare that an abs sensor fails. its always down to the wiring plugs. and a car wash will throw the water in the engine bay, not like road water and any seal that are weak or cracked will be the first problem. plus engine dieing is a good sing the abs unit is not working at all. bad part is if the unit is not completely damaged. if the engine starts without the abs plugged in. but will not when its plugged in. can be a problem with the abs control unit board.

Most likely its the throttle position sensor. Gm is having a fit with them on the 5.3 engines. What your seeing with the stabilitrac/traction control is common. Try this as a test. Take off the negative battery cable for about 2-3 minutes, let the ECM dump its memory, hook it up and try it. If it comes out of limp mode, its probably the sensor. Unfortunately, It likely will go back into limp-home after a short drive. GM has had a "campaign" on those, and was replacing them free for a while. Good Luck !

It's so much easier to hook up a scanner to read the ABS codes than trying to guess, the brake lite comes on when the fluid is low or your e-brake is on, only takes one click to activate the light.

sound like the battery is dead could be an alternater is not charging the battery

BETTER BE SAFE AND TOW ..

If your ABS light is on then you will have to get the codes read to see what sensor is giving you the problem.The ABS light being on will also affect the traction control and brake pedal going to floor.Auto Zone will check codes but I`m not sure if they do ABS codes.They don`t charge so it wouldn`t hurt to ask.After you get the codes you can post back and I can help you find the problem.Good luck.

If the brake pedal goes to the floor with the car off, I would suspect air in the system or some other issue with the service brakes. If you feel and hear a growl in the pedal when it goes to the floor then your abs controller may be at fault. There are many possibilities. In either case if your pedal goes to the floor, then you are looking at a safety issue. Generally the service brake system (regular brake system) is the fault and not the abs. I have however seen a sticking dump valve or faulty wheel speed sensor cause an abs issue. Start with the basics first. Leaky wheel cylinders/ calipers, brake lines, or master cylinder. Verify the hydraulic integrity of the service brakes before tackling an abs issue.

The Abs light and gauge problem is a cracked circuit board in the cluster. You need to replace the circuit board or install a used cluster. But if you do this, the dealer will have to program it before it will work. If you smack the side of the dash, the gauges should come back on.