In that context here's my guess. They got a call about something that wasn't urgent and there were no available units reasonably close to handle it. So the dispatcher was told to hold the call and give it to a unit scheduled to go on duty at 10:00 AM.
Going "10-8" means going on duty. 10 hundred is KSP talk for 10:00 AM.
Unit numbers in the 1,000 and 1,100 series are your basic road troopers or could also be detectives. I'm thinking that a trooper is assigned a unit number that he or she keeps while with KSP unless they are promoted to sergeant, lieutenant etc. A dispatcher told me a long time ago, any number below 50 is a high ranking person.