Forget the chemicals. Take your lawnmower and cut the crabgrass short. Keep the clippings. Now rake the crabgrass out hard. Get right down into the dirt. Spread one third of your seed over the area. Now rake it out hard again going the opposite direction. Now spread another third of your seed. Pick all the clipping up and raked debris and spread it out over the area. Spread the last third of the seed and work it all down firm with the back side of your rake. Walk the area down good. Water it and walk it in again. Then water it a couple times a day until the grass comes up. If it survives the winter come spring fertilize it with a starter fertilizer. Add more seed if needed. start mowing it just as often as you can get it to grow to three inches all spring. You can start killing crabgrass after its been mowed a few times with post emergence herbicides like Weedbgone plus crabgrass killer. You can also start using pre emergent herbicides after your grass is well established in the late spring after being mowed several times. I have done this about a hundred times with cool season grass seeded into crabgrass. It works darn near every time but a month earlier would be better.