Hi Racheals14,
Thank you for your suggestions.
May I start by saying that, after several days and numerous emails between myself and my email hosting provider, their final response is "If it works in Webmail and Outlook, it must be an Apple issue".
I have checked date and time settings on both iMac and iPhone and all are set to automatic for the correct time zone - Melbourne, Australia. While the Apple message date stamps are all in descending order on iMac, a large number of very old messages are interspersed with newer ones. When a message is forwarded, it often contains the original date which obviously does not match the message date shown in the inbox.
If there is a common feature of misplaced messages, it might well be a forwarded email from a gmail account. It could also be a flagged message. Clearly, if I want to fix this issue, I need to compare the inboxes of Webmail, iMac, iPhoneX and iPhone6s (brought out of retirement for this exercise).
I suspect that this issue is not simple, especially since Apple wants to "synchronise" all of my devices all of the time.
