Anything is possible, but I'd say the box blade is the wrong tool for digging out a pad for building a deck. It's alright for smoothing things out, but thats about it.
You will need to dig out the dirt, then haul it off. The hauling is the real work. I think your math is off, but I don't know the amount either.
First I'd research the amount of rock you need for a base. Seven inches seems extreme for foot traffic. Since I don't live in an area that freezes, I have no knowledge of you conditions. But I'd still consider four inches as plenty. This could cut down your exavation by a huge amount.
One inch of sand is normal. You can use 3/4 inch PVC pipes for your scree rails. Their ouside diameter is exactly one inch.
Do you have a Front End Loader?
For what you were quoted, I'd get one.
You can dig out your pad. Haul off the dirt. Smooth the pad by back draging the bucket. Bring in the rock. Spead the rock. Smooth the rock, etc . . .
Paver patios are real simple to do, just very repetitive.
Be sure to rent a compactor to run over the rock when it's in place, then again after you've laid the bricks.
Be sure to rent a saw to cut the bricks. You can also buy a dry blade for $50 give or take and use you own saw. I have a Milwakee chop saw for cutting metal that I put a stone and brick cutting saw in when I need it. I even have a small 7 1/4 inch blade on my circular saw that will cut them in two passes. It's good for really quick, small jobs.
Eddie