I'm excited that you and others are trying out gardening during this time. Don't be discouraged if everything doesn't flourish the first time around! We all learn by trial and error -- and by asking questions.
Our nights have mostly been pretty cool yet, so I think it's too early to put cilantro plants into the ground. With the soil being both wet and cold, they'll have trouble. If you can, dig them up and put them in a pot (an empty plastic container will work, just poke some holes in the bottom for drainage), then bring them inside -- they'll definitely die in the forecasted cold weather tonight and Saturday night. Cilantro, basil, peppers are "warm season" plants, and around here (I'm in Frederick, MD), Memorial Day is a good time to put them into the ground.
The raspberry in your photo looks like it's been planted pretty deep... when you put in a potted plant, you usually want to plant it at the same depth it has been growing (so the soil surface in the pot is even with the level of the surrounding soil). With the bare root canes, plant them so the roots are all beneath ground level, but don't bury them deeper than that.
Higher than the surrounding ground is often good, especially for plants that need good drainage or, in other words, hate wet feet (1/3 of the rootball above ground level, so the plant is on a little mound when you're done).
A few plants, like clematis and roses and tomatoes, should be planted deeper (just to confuse things LOL).
Often, though, if you bury the "crown" of the plant (the central part where stems and branches originate), the center can rot out or just not grow properly.
We've been having really wet weather, and new plants can sometimes have trouble soaking up enough of the water around their roots so they don't drown. I think that's what you're seeing with those yellowing leaves -- too much water. I would go out and dig them up, put them back into their pots (if you kept them) in a sheltered location (like up against the house) until they recover and start putting out new leaves. If you can't do that, try to lift them (with a shovel) as much above the ground as you can -- like, dig them halfway up and then put some dirt around them so the roots aren't exposed.
That looks like wonderful, compost-rich soil you're planting into! Did you make a raised bed, or how did you get your planting area ready?