Welcome.
Even though pee sticks are not very accurate you should be getting some positive colours there.
I’m afraid the 1 or 2 cans of Dr Pepper contain more than just caffeine. I really enjoyed my coffee from the cafe at work, I thought it just had 10% milk, a bit on top, but it’s more like 95% milk, with a bit of coffee at the bottom. It threw me out of ketosis.
If you go 1g over your personal limit - then it is literally like a switch. Insulin takes over, stops all fat burning. No negotiation, just bye bye. Took 3 days to recover.
Sorry to say it but you’ll have to find an alternative to Dr Pepper. Usually anything “diet” contains more sugar. Out of the frying pan into the fire.
The benefits of keto far outweigh the negatives. If you’re like most people trying to eat healthy “low fat” and “low calories” then you were already depriving yourself, keto should now be opening doors which were previously closed. Gain more than you lose. : - )