Perhaps 1-spotted wintergreen- Chimaphila maculata 2-Hexastylis virginica

Hard to see the details of the plant. A closer picture of the foliage may assist in the ID. But that said, from what I could see I would lean toward the mexican tarragon (T. lucida) as well. Mexican tarragon is a pretty plant. I'm growing it (from seed) for the first time this year. It has recently started blooming. If you do have this plant, be sure to save some seed to start more next season. FataMorgana

Dynamic lifter is a good fertilizer but before you do anything you need to see what the soil is like. Fertilizer won't improve soil and is a waste of money if your plants are struggling in soil that's too light or too heavy, or full of roots from competing trees. I would salvage what I could from those gardens - perennials herbs etc, weed out the rest (saving the sunflower seeds for the birds :-) ) and dig it over. What you need is good soil to grow veggies. Too sandy will need compost added to bulk it up and reduce water loss. Too old and heavy may just need breaking up, watering, compost and working over. You may even need to bring in some better soil to work into what you've got. So, I'd go for compost and soil improvement first. That might also involve adding some organic fertilizers. If you are on a budget, you should also start setting up your own compost area so you can recycle your "good" kitchen scraps and "good" weeds. I notice a number of skinny things on top of the soil that I would normally call "catkins" and suspect come from a pine tree or similar - do you have any overhanging trees like that?

Neither is a herb. Both are seedling brassicas ie something in the cabbage family. Kale or collards etc.