Is there a way to specify particular aircraft for a particular time period, say a week, and see a listing of all flights by that aircraft?
If it’s a commercial aircraft operating for an airline, then no. The airlines don’t release which planes fly which route.
It’s a net-jets EJA809
flightaware.com/live/flight/EJA809/history (domestic)
flightaware.com/live/flight/N809QS/history (international)
Is N809QS related to EJA809?
EJA is clearly ExecJet, but the N809QS is shown to be owned by AVI Food Systems, Inc. ( http://flightaware.com/live/flight/N809QS ). Why do you equate them?
NetJets is a fractional ownership program. AVI is one of the owners of that aircraft. These are the other registered owners of that aircraft at 1/8 each:
FLY AWAY LLC
KA AVIATION INC
KAPLAN INC
LAKE DELAWARE LLC
PRAXAIR INC
HORNE TIMOTHY P
ROBERTS JIMMIE
http://registry.faa.gov/aircraftinquiry/NNumSQL.asp?NNumbertxt=809qs
For more info on how the system works go to http://www.netjets.com/ 
Speaking of NetJets… does anyone know what they use these for?
http://flightaware.com/live/flight/N172QS
http://flightaware.com/live/flight/N173QS
http://flightaware.com/live/flight/N310QS
They belong to the NJA flight school. It’s used by their employees for flight training and low cost rental. It’s 2 172’s and a 310, kept at KCMH in the Tan hanger, in fact that’s one on the ramp. FSI is the building just to the South. (Where I work).
Keep following the ramp around to the south and you’ll see the old passenger terminal, as seen in article. Now go to the west 2 buildings (the ugly baby blue one), you’ll see a Sabre 65 on the ramp. That’s my old corp. hanger.
Thanks for the info on 172’s. I think the Sabre took off before I got there.
I’ll be darned. I shows up on the Aerial shot though.