I completely mirror your experiences. Keep in mind PE is not about finding the right diagnosis, but how you approach it. It's okay to miss a key diagnosis, because that's a minor point in the grading scheme. As long as you had at least three reasonable differentials you will be okay.
Also, each section of the SOAP note is weighted equally, meaning that if you didn't have anything in the assessment and plan, you will have 0 points that is worth 50% of the SOAP note grading. That's why I always put A/P first, because they're short and can net you points that are already worth 50% of the SOAP note grading. They’re also the ones that require more critical thinking. Subjective and objective are basically cut and paste from what you’ve written down. You can always shorten the subjective and missing a small minor detail won't affect it as much either. It's really about how efficiently you can get the most points with the least amount of typing. 9 minutes isn't a lot of time.
IRL in the hospital I go in order of SOAP. On the PE, I do A/P first (which also allows me some time to think of more differentials and plan and if you forget to do something during patient encounter, can include in plan), then start Subjective by the 5 min mark (Includes HPI, ROS, FEDTACOS, SMASHFM), then Objective by the 1:15-1:30 min left mark. Again, practicing makes perfect in this aspect.