Calls not answered or connected won't be in the logs. Any messages sent as iMessages won't be in the text log.
I'm most definitely NOT a VZW employee. If a post answered your question, please mark it as the answer.
Sorry to hear about the issues with certain message and calls not showing up in your logs, Dukes4. We definitely want to help figure this out with you. Are you able to see or answer those calls/messages when the initially come through? Are specific contacts or numbers having issues or does this impact all users who text/call you?