The car spontaneously dies while driving down the freeway, but then starts back up again after hitting the gas repeatedly

Two times in the last month I've been driving on the freeway going 50+ when the car
just seems to stall or die and the lights in the dash go out and I hit the gas and nothing
happens, similar to what happens when you run out of gas (but I had gas and the lights
went out on the dash also).  
But then after hitting the gas repeatedly the car came back to life and just started
driving fine again as if nothing happened.
I had my car scanned for codes but no codes are coming up.
I had the transmission rebuilt less than 1k miles ago.  Could this issue be related to the
transmission? Or the battery? because the battery sucks in the car and I've had a dead
battery after leaving the lights on in the car for like 15 minutes without the car being on.  
The car has also stalled at slower speeds maybe 3-5 times, however that was not so
stressful because I was driving in a parking lot and everybody is going slow there.

Any suggestions or help will be appreciated as I am not especially mechanically
inclined.  
Thank you for taking the time to read/assist.