You're right... I did a quick check through the various web sites listed here...

http://www.yvr.ca/guide/toandfrom/car_rentals.asp

...and they all close at 1:00 AM, opening up again at between 5:00 and 6:00 AM, depending on the rental company. If your flight's due in at 1:45 AM and you're in business class you'll probably be off and through customs by 2:15 - 2:30 AM, so it's only 2.5 hours until some of the agencies start opening. Of course whether you should be behind the wheel in that state is another issue.

HOWEVER... (and all that being said) are you sure you're reading your itinerary correctly? I'm pretty sure the two Cathay flights come in at around noon and and 1:45 PM, not AM

Cheers,
Geoff Glave
Vancouver, Canada