2011 Kia Rio, Idle and Misfire issues

Hello, I have a 2011 Kia Rio base model 1.6L 4 Cylinder with a manual transmission sold in Canada. It has around 200,000 kilometers on it (120,000 miles).

I purchased the car about a month ago, and when I scanned the ECU (CEL on) before purchase there were two pending codes, one for the Vehicle Speed Sensor and one for an Oxygen sensor. I cleared the codes but the CEL came back.

About a week ago, I noticed the car would occasionally begin to idle rough after driving a short while. Restarting the car would fix the problem. Specifically, it would idle below 700RPM (where it seems to idle normally) to about 650RPM (run rough), then shoot back up to it’s regular 700RPM, and repeat. Within the course of about 2 seconds. The car also began to misfire (CEL blinking) when being driven more aggressively, but only lasting a few seconds.

After a little testing, I found that the car would sometimes misfire if I gave the car too much throttle, sometimes not. It does not seem to matter about the RPMs. If I put my foot down in too high a gear (1.5-2k RPM) the car would bog and sometimes misfire. After this happens, it seems the rough idling problem starts, and the car does not seem to preform well/have much power, even above idle, until the car is restarted. However, I have not yet 100% confirmed whether the problems are related.

I also find that this car jerks quite violently when applying throttle from idle in first gear (such as driving in slow moving traffic). I seem to need to apply the clutch in order to accelerate smoothly. I don’t believe it always behaves this way, only sometimes, but I could be mistaken. This may be unrelated however, my previous car (truck) was a heavier vehicle so I may just not be used to it.

Scanning the ECU, there is an active P0501 code for the Vehicle Speed Sensor, and an active P0301 code a Cylinder 1 misfire. Also an (I believe) pending P0300 code (I presume related to the P0301). I am new to scanners and am not sure how any of the sensors should read, so please bare with me. I wrote down all the sensor values while the car was having the idling issue, and then again after restarting the car. These are the values that read differently before than after. Please note that I am using a cheap scanner and it probably can not pick up all sensor data.

Now, I realize that a lot of the above information is irreverent, however as I said I am new to using a scan tool so I am not sure what to make heads or tails of. Was is particularly interesting, to me anyway, is the Air Fuel Radio and the Timing Advance (commanded partly by the O2 sensors I presume) and the O2 sensors. But what would cause the O2 sensors to act like this intermittently? And why would they not throw a code?

Thank you for your interest. Any help would be appreciated. What should my next step be? I plan on changing the spark plugs in the near future, confirming the causes of the issues and repeating the sensor readings.