Rye chokes out weeds and it's growing ok. Perhap throw some more in, then kill it for your fall plot.
Let the stuff grow a few weeks. Spray it dead, broadcast the seed, mow it down, then cultipack over it. Works for some plantings, not all. You could throw oats in there as an option too. My plots have been small over the years, so If i leave them I spot treat the bald spot. Scratch the soil with a rake, drop the seed, then take good dirt and cover it up a 1/2 inch or so.
Sun hemp is an option too. Seeds need to be warm enough to germinate, if its too early, theyll get choked out.
IF you need phosphate, pottasium, or lime/sulphur to get things correct a good bit, then thats when I turn the soil. Do you need to remove rocks?
Tell us what you have to work with and what you want to plant for the fall. I plant to attract deer to camera locations. You dont always have to plant the enitre plot to do that in the summer.
Critters can be fussy from spot to the next on preference of forage when it comes to brassicas.
Your spots around the young trees look bare, are you working that area in conjunction with the plot area?
My opinion, let the rye go, but throw some clover in it now. From the looks to me, that plot is still on the young side. Keep with grain mixes for the fall. Clover and grains can get hammered hard and still be around. Deer can be fussy about certain brassicas. Mine wont touch canola. Daikon and turnips seem to work. I usually go for a grain, root crop, clover mix. Then let it stay what it is until august in NY.
Too soon to tell what the weed situation is like in your plot pics. But, adding 2,4D amine to your gly can help with certain stubborn broadleafs. IF you do disc, kill with herbicide, then either leave it along for 2 or 3 weeks. Disc it up, then disc it again in another week after a good rain. To let the weeds seeds germinate, then disturbing those young roots with the disc to kill them.
In my experience, turning over whats there now and adding fertilizer is pouring gas on the weed "fire". The rye looks good, keep it going........