Image, which you can buy at the big box stores does pretty well on sedges. Sedgehammer is a really good product but you may not be able to get it, bit heck you probably can online. You have a few options on the crabgrass... Quinclorac is going to be your best option active ingredient wise.
Edit... I think I remember Image also being fairly ok to kill crabgrass. Read on the bottle. The only time I use Image is for over the top kill of sedges in landscape beds. If it is dallisgrass dig it out nothing's going to be a once and done on dallis. Boy I wish there was. I'm fairly confident it's not dallisgrass.
Not sure about that. I'm calling it Kyllinga based on pretty much the way the "nut" looks and the size of it, doesn't look very tall. But I could be wrong.
As far as the potential crab or dallis... Let it grow another week it will stalk out a seed head. If the seeds are black it's dallis. Whiteish green on a 3 prong it's crab.
1. Looks like smooth crab, could be dallis, need to know if it sends up large stalks of seedheads. Drive XLR8 for the crab. If its dallis, roundup or dig up.
2. sedge, Sedgehammer or Certainty are my choices for removal
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