Light application of gly when things are young, like this time of year. Atleast in NY. I'd do this in a few days. Gly is non-selective. Will stunt or kill anything. After you o this, if there is still major weed issues, ID what ou have Close-up pictures. Shape / texture of leaf, how leaf comes from stem, seed head, and sometime digging up the plant to ID the root structure.
If you're not sure what you have, selective herbicides is a crapshoot. pigweed, smartweed, ragweed, red aramath, mace sedge, nutsedge, broomsedge are common topics on here atleast.
I welcome dandelions, plantain, crabgrass. Deer enjoy some stuff you thinkis nusiance in your plot. Id your plants, then watch them. When a plant reaches a certain growth stage or frost come, sometimes deer will hit them good at certain stages.
Some mowing can help, too much can be a problem though. See the seed heads starting to grow but not mature, mow them. Some weeds will not make seed after that for a year, some will. I mow down to about 5 or 6 inches. Mowing too much will allow younger weeds a chance at light more, and frequent mowing will prevent clovers from producing,especially red clovers.
Clover produces nitrgoen for itself and some excess. Excess nitrogen will be used by something else, In pure clover plots you got alot of fighting against nature to do. IF you rotate stuff in your clover plot, you get a good balance. Late summer rye, turnips, other brassicas. Peas are legumes, but you can use them in there. Other plants like rye help with weed control too. The thatch of one can be used to help plant the next one.