Hi,
The P0421 shouldn't cause the misfire unless the converter is clogged. However, a failing heated oxygen sensor can set the P0421. The PCM detects that the HO2S output fluctuates from lean to rich in a short amount of time at specified times continuously after recovery from fuel cut control. So, this can be an upstream heated oxygen sensor.
At this point, we need a live data scan tool so we can check the oxygen sensors' voltage readings. Here is a link that explains how to do it.
https://www.2carpros.com/articles/how-to-test-an-oxygen-sensor-02-sensor
The P0300 is not limited to any one cylinder, but instead random cylinders and misfires. Which potentially moves us away from cylinder 3. What was the outside temp this morning when you started the vehicle? Also, is there any way the individual that checked compression can provide the readings?
Considering the symptoms, I suspect (theory) the oxygen sensor may be the cause of all issues. Check it out and let me know what you find.
Take care, Merry Christmas, and I look forward to hearing from you.
Keep Warm. It's -6 here and a ton of wind. UGH!!!
Joe
Saturday, December 24th, 2022 AT 4:30 PM