I agree with Dave, you have a leak and they are trying to convince you otherwise so they don't have to fix it. This is scary in two regards. One, they don't want to do what's right. Second, they are willing to do substandard work. This is where the General Contractor is worth his price. You are on top of it, and your decision to force an air test is valid. I wouldn't budge on this, and I wouldn't accept their word on doing it if you are not there. My concern is that even though you told them that you want to be there to see the test, they will do it when you are not there, with some lame excuse that it was the only time they could get the eqipment, or person to do it. You can do this yourself by gluing on some caps and air fittings.
I've only done air tests on gas lines. I've never had a water line or drain line fail a water test. I'm wondering why it's leaking. Did they prime the pipe before putting on the glue? The primer is mis named. It's not really a primer like most people think of primer for paint. It's really a two part chemical that softens the PVC before applying the glue. The glue isn't really a glue, but the second part of a chemical reaction. Once the primer has done it's job, the glue will actually melt, or weld, the PVC together. It is because of this, that the pipe can withstand the water pressure, and not leak. Done right, it's fool proof. Cut a corner, and it fails.
My Water Department will only allow purple primer and clear glue. They said that all the other colors of glue have failed on them. What color glue did they use?
If the air test fails, which it will, then fill it up again with water and add the air to it again. This should allow you, or them, to find the leak. Make sure they replace those parts and not try to patch it. You want brand new fittings in there.
I noticed that you have gravel in your ditch with your drain lines. What type of gravel is this?
Where I'm from in CA, we had to surround the pipes with sand. The reason is that rock is sharp and the soil moves. Over time, a rock can damage the pipe.
Here in TX, sand isn't required, and I'm allowed to use the soil to surround the pipe. Rock is not allowed in the trench with any pipe. EVER.
Eddie