Please note that you have the wrong date for the Pick Of The Pops. It should be 20-Oct-63. There are various places on the web with a complete list of POTPs if you want to verify - for example the Popscene forum.
The reason I believe your tapes of Caroline are from their first week is because Christopher Moore is live on board. I heard an interview with Alan Taylor who said when he went out to the ship on 11-Apr-64 Moore came off on the same tender, never to return as a dj. I cannot provide evidence, but maybe Paul or Mike can confirm.
Is Julian on board on either of those dates I uploaded? If he is I'll update info correctly. I know ex BBC news reader Phil Hayton is. Those recordings incidentally came from the mysterious 'Roy from Walsall' who had no other recordings whatsoever and didn't appear to be all that interested in the pirates full stop. But he just happened to have those 12 hours of high quality off air recordings