Hi! Everyone just to let you know I have solved my dilema.
I bought this car used so I have no clear history of it.
I call the dealer and they say most likely I have to tow my car to the dealer buy new key and get it programmed. It would cost me around $450 to $600 if it was just this the problem.
Service department isn’t open in Sunday a lease the dealer close to home, so I decide give it one more try. I decide started with checking all fuses even the ones not related to the start system, all check good, and move on with the push start button and there I go to desensamble it. Guess what?
The push/start button is placed in a case or frame that actually is the immobilizer antena, I notice that maybe just maybe someone already played with the push start button and well for wherever reason this antena was unplugged, I guess thats why wasn’t recognizing the frequency of the key fob. After plugged it in, charging the car battery, confirming that the key fob battery was in good conditions I cross my fingers and give it a push waola!!! Key recognized and engine running.
I decide to add the outcome of my situation thinking it may be of a help to someone.
Have a good one everyone!!