Corolla 2013 RPM Issues

#1
I bought Corolla 2013 XLI a week ago,Transmission is ok, but it looks like Previous owner never change the Air Filter and Gear oil as it was too Smelly and Air Filter was too dirty. I have changed Engine, Transmission & Filters.
I Face below issues, please tell me that it is normal not not?

- While Driving the Car when i push the Accelerator to about RPM 4.0 and Pull out my foot the RPM don't goes down normally but quickly fall down to 0.9 and then goes up and Fall normally.

- At low Speed about 15-20 km when i Apply the Brakes the RPM Fall Down Quickly and Comes up and then fall down.. i feel pressure on Brakes. it only happens at low Speed.

- I have made test Drive reached 140 KM Easily but after that i pressed full accelerator and Still it went to 150 only.
 
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