The first plant looks like either Spoon-leaved Purple Everlasting (Gamochaeta purpurea) or Rabbit-tobacco (Pseudognaphalium obtusifolium), both native, or one of their relatives. They can be host plants to the American Lady butterfly, the look-alike to the Painted Lady.

The second image is too close-up and not quite in focus to ID with certainty, plus flowers are an important trait to use with plant identification. Can you take more photos of the plant, showing its growth habit and foliage shape? Is in in a home garden setting, or growing alongside a natural area at the edge of a property?

The blooming plant in the third photo is a Tradescantia, also called Spiderwort. We can't tell if it's Smooth Spiderwort (Tradescantia ohiensis), which is native but not locally native (depending on the reference consulted), or the locally-native Virginia Spiderwort (Tradescantia virginiana), or one of the hybrids or cultivars of either that are common in the nursery trade.

Miri

Thank you for your quick response. The second image is of a plant which doesn't seem to be attractive. LOL! 

Photo #2 might be a sunflower...it's hard to tell at this stage and from the one photo.

Spiderwort has wildlife value, though we have limited information on which specific insects or other pollinators visit the plant. Several types of bee can visit the blooms, though as far as we have checked, there isn't a known bee species that relies on it exclusively. Spiderwort sometimes spreads aggressively from seed or rhizomes (runners), and in that way can be a useful groundcover to suppress weeds or reduce erosion on a slope. Some gardeners enjoy its flower color, since blue is an uncommon bloom color, but others consider the plant's after-bloom growth habit a bit messy, unless tucked into a cottage garden or meadow style of planting. It depends on your aesthetic preferences. It should be fairly easy to remove if you wanted to take out extra volunteers.

Miri

You're welcome!