My instructor did spin entries with me just to show me what they looked like although he did the recovery. We did it in more than one plane although in one we forgot to lock the horizon and managed to tumble the gyro and it didn't fix itself which did not make his father who owned the planes happy.
In my limited experience with stalls and wing drops in a 172 unless you are in a fully developed spin you can often just let go of everything and it will mostly fix itself. My current instructor showed me this.
As for the initial question more towered airport experience. I flew out of a small rural airport (still do) and I think I only went into towered airports maybe 4 or 5 times including to pick up the DPE for my test. The first few times and during the night flying the instructor did all the radio work.
Here is an odd one too the airport I picked up the DPE was about 30-40 minute drive from my home airport we landed at my home airport for the last part of the exam and he said I could drive him back to the airport save me the gas of going there and back in the plane. If he hadn't signed me off you would think he was afraid to fly with me.