Many of the plants mentioned would be direct seeded in my garden like a month or two ago... now would work too...
not great candidates for inside pot culture.
African daisy.California poppy .Clarkia. English daisy. Flax. Gaillardia. Larkspur. Nigellia. Marigold. Nemesia. Salpiglossis. Pansy. Petunia. Phlox. Rudbeckia. Snapdragon. Stock. Sweet allysum. Toad flax. Verbena.
plant seed in warm weather: African daisy. Clarkia. Gaillardia. Marigold.
plant seed in cold: California poppy English daisy Larkspur. Pansy. Rudbeckia. Toad flax.
The others? not sure... I've had flax show up in my garden from the horse poop, so probably winter also... maybe a web search for better info?