@MJ: absolutely correct. When doing the regulations they missed to define "flight time" - which opened up the old local hero CAA game ... nobody knows but everybody has a opinion. If stretching to the limits, one could even log airline pax time ...
Back to the somehow reasonable things. You can of course log all times you want to, some use their flight book as diary story book and leave the "what counts for x" issue to later. I am writing down my RSF, if I was in control for me to remember and do exclude these hours in claiming flight time for license reasons.
And, to be picky - there is no P2 in a single pilot SEP ... you can log PIC or PUT for license revalidation, plus note PAX for all other flights. In the end it may depend even on your FI/CFI/FE what he/she is going to sign off. BUT, I would always suggest to do FE training flight if you are down or close to minimum hours anyways.