Update... Thanks for bearing w/me... I found the missing messages in time machine and recovered them
I found that sent emails did have a gap... they were all gone for a period of a couple months... from the time I archived, on my mac, and swtiched to imap thru about a month ago are gone... They had deleted from the server even though settings say don't delete... I'll watch to make sure they aren't deleting still... maybe I had some setting back a month ago that caused deletion?? I"m still learning about this imap stuff.