Your numbers actually kinda make sense. If for some reason your cycle crashed then Amonia is not being converted so Amonia accumulates and Nitrates don't rise.
The reason why your fish are not dead yet is probably because your water conditioner is neutralizing it.
Btw, you said you added fish on 08/04 and 08/07 but according to your chart your Amonia was 1ppm and you had Nitrates 5ppm at some point.
Why did you think it was Ok to start adding fish if your water parameters were not good?
I think you rushed adding the fish before the cycling was finished and your tank is not able to process all Ammonia produced by fish yet.
The reason why your fish are not dead yet is probably because your water conditioner is neutralizing it.
Btw, you said you added fish on 08/04 and 08/07 but according to your chart your Amonia was 1ppm and you had Nitrates 5ppm at some point.
Why did you think it was Ok to start adding fish if your water parameters were not good?
I think you rushed adding the fish before the cycling was finished and your tank is not able to process all Ammonia produced by fish yet.