Some of the newer vans have a "guard" in front of the hole for the spare. There is a plastic wingnut that you need to take out to remove the "guard". I assume it is there to keep the spare from being stolen when the van is new. The guard is best used for throwing practice.
The older vans use the screwdriver end of the lugwrench to drop the spare, newer ones use the "crank" for the factory jack. I don't know when they changed over. (In my business I have a special tool made which has the screwdriver end and a nut on the other end so I can lower those types of spares with my impact wrench. A similar tool is factory in the Chevy Venture mini-van tool kit).
Personally I don't see the sense in buying "new" tires for the spare unless you are going to do a 5 tire rotation. I DO recommend that you remove the spare, air it to 80 psi and put it back up. Tires are not airtight, and that 7 year old spare probably has about 20 - 30 psi in it by now.
If you can afford a Rak-Jack for a "just in case" tire change you're a better man than me. A "stubby" hydraulic bottle jack (with screw height adjustment) in conjuction with the factory mechanical bottle jack should be more than adequate. Remember to ALWAYS set the parking brake, the trans park mechanism is useless once one rear wheel is jacked up.
I recommend the 2 jacks because often with a flat on a vehicle with tall tires, the axle is too low to get a jack under, and if you jack under the frame you can't get the axle high enough to get the inflated wheel on. But you CAN jack the frame up high enough to get the second jack under the axle. A shortcut is to drive the flat tire up on a piece of 4x4 lumber or whatever is handy. This is particularly useful on very low cars (Taurus and Neon) where you can't get ANY jack under the car with the tire being flat.
*On edit* a story about those sticky plugs. When I was new in business, I bought a thrashed 92 E250. The tires on it were junk, but there were 2 tires with about 60% tread in the back. Turned out one had a 3/4" gash in the tread area. Well I packed about 4 of those sticky plugs in that gash, and ran those tires till they were bald. Not that I recommend such "repairs" or running them for that long, but it works.