First part means that you've got a few unread notes waiting on your bot. If you read 'em, your bot won't nag you 'bout it anymore.
You might also wish to set notify-users and notify-onjoin to 0 to completely disable these messages for all users.
Second part should only show up in dcc chat sessions, and you remove these either by turning off the channel-setting statuslog, or changing your console-setting removing the misc (o) loglevel. Setting channel -statuslog would ofcourse remove these msgs from any user.