Thanks for asking the question. Permaculture is about observation and working with nature.
I must say your photo was challenging for my aging eyes for identification, plants a tad older and a better photo would help. I concur with many observations adding what I think is Shepherd' purse (Capsella bursa-pastoris) upper left and Cardamine hirsuta, or bittercress as someone mentioned, also sometimes called winter cress cuz it's not bitter or popweed because the seeds pop out when ripe and touched. So..yeah, you have a fine salad and medicinal garden right there in that spot!! I would recommend letting them thrive together. Perhaps you have a lot of this and want to try growing something else, well okay, but don't take out these plants until you are actually ready to put in something else. Here's ways those plants help humans. Strawberry, dandelion, popweed (and chickweed but I don't really see it) are all good edibles. Violet, shepherds purse even henbit (and rumex) and strawberry leaves can make good teas and be eaten in small quantities. Dandelion, Rumex, violet, shepherd's purse, strawberry leaves are all used in herbal medicine. Did I mention Dandelion as being useful...cuz yeah! All parts of it are edible and helpful for cleansing toxins out of our bodies living in a toxic world...so yeah, dandelions. Also you should leave and eat the dandelions : ). More nutritious and versatile that what you would plant. Put the leaves on sandwiches, fritter the flowers, roast the roots and make tea, steam the leaves and slather with butter...
Let's appreciate and work with what the earth is giving us, Peeps. Baring the ground is not a good starting point for permaculture. Sure, some plants need some discipline, but my philosophy is to try to work with what presents itself, not taking out plants, weeding, unless I know what it is and why I must weed it. Eat what is in abundance. Terri