The blue in the 1st pic is centaura cyanus aka annual bachelor button. The tall yet to bloom appears to be cosmos bipinnatus aka annual cosmos. The red vine is lathyrus odoratus an annual sweet pea. The last pic appears to be verbena bonariensis hanging out over the side. You can indeed collect seed from these. Some of them will automatically reseed themselves if had been ground planted.

It's been a few years since I last grew shungiku but I seem to recall that the petals drooped and the center disk became more rounded with age. I dug back through my photos and came up with one that shows a number of young blossoms and one starting to age in the upper left. On the aging flower, the petals are starting to drop down and the center is taking on a more rounded appearance. Perhaps stress of being moved or age is contributing to the appearance of the OP's flower. FataMorgana

It's a St. Johnswort for sure, however, that's the best I can do. Most of these are native but you will have to check with local experts on the pictured species. This plant is not the eurasian species that is used as an anti-depressant herb.

That's what my hubby and I have been thinking-- it sure looks an awful lot like it, and I do believe there is some sort of Phlox that grows wild around here. I've always thought of Phlox as pink, never this lovely periwinkle blue. I'm probably going to post this on the Name That Plant forum in a few days, unless anyone else here has a positive ID. Hubby just loves this flower and is as curious as I am! Gee, I'd sure love to know this cutie's name... :) Megan