Does it matter?
I Don't think in Nigh on 25,000 hours I have ever logged a take off or a landing. Obviously each sector started and finished with one of each and I always assumed the relevant authorities would also make that assumption. In none of my 9 logbooks is there any column to record take offs or landings although you could add it in the remarks column if you felt it was relevant.
Similarly with PM and PF unless your logbook allows for the distinction, there is normally a column for holders operating capacity (P1/P2/Dual) You can be P1 (pilot in command) and operating as either PF or PNF. Again, the distinction may be a remark entry if you feel it is relevant.
I appreciate there are a whole host of logbooks and software programmes these days. I have always relied on the CAA's pilots logbook issued by Her Majesty's Stationary office, and nobody has ever raised an eyebrow over it.
If you are sufficiently concerned you could either rewrite the logbook unless it contains certified entries, or simply make a notice of correction in it, or just leave it alone and carry on in future with correct entries.