I think sedge too. Pull one and look at the main stem. Is is triangular? Growing leaves in roughly three different directions? (grasses grow leaves opposite one another, sedges grow them roughly 120 degrees from each other, hence the triangular stems.) Are the leaves shiny and waxy? If so it is almost without a doubt nutsedge. Put more simply, if the stem is triangular it is a sedge, and not a grass, and the only thing you need to figure out is what sedge, exactly, it is. But still if the stem is triangular and it is growing in your lawn it is probably some variety of nutsedge. Which is a problem, because these weeds grow underground storage systems (nuts - hence the name) to help them rejuvenate after you pull them. So to get rid of them you have to either pull them like every other day for a year, or apply a product like Sedgehammer. MSMA also has an effect on them, but it is relatively mild and not nearly as effective as the more expensive and harder to find sedgehammer.

probably a Bromus species. Bromus catharticus is very common and widespread.

First three close up looks like what I call crabgrass. I grows from a central base and has multiple shoots. Bright green color. Does not send out runners that send down roots. Crabgrass is a summer annual and dies out in fall/winter. Pics 4 & 5 look like young Bermuda. It should have a blue green color and will send out stolons on top of the soil that will produce roots from every node. Here is a link that might be useful: Bermuda grass / crabgrass

Can you post images, please?