I'm in OH, too, and many of us this far north or more start seeds in the December/January timeframe. Feb/Mar is still good, but IMO Dec/Jan is better, or at least the plants will be larger come springtime. And agree, your seeds should be fine for years. If you're not already aware, you should keep a fan on them once they sprout. This both helps simulate wind to keep the stems strong, and also helps prevent damping off, which is a fungus that can grow at the soil line and kill your plants. Bottom-watering is best so you avoid getting the soil surface wet.
Contrary to popular belief, you can put seeds in the freezer, though I don't know what the maximum time is. I have put whole pods in the freezer for a few months, then germinated the seeds from them. In fact, I only germinated the seeds from them because someone was insisting it couldn't be done. Yeah.... 100% germination. Fact is that seeds freeze in nature, yet we still have all kinds of wild plants out there. People told me the seed embryo would effectively burst inside the seed casing if they froze, that the ground doesn't actually freeze in winter, seeds somehow bury themselves too deeply in the ground to freeze in the winter, and all sorts of other stories. Yeah, right. Since you only have seeds, you have no need to freeze them (my focus was on freezing the pods; at the time I froze them I didn't care about the seeds), but just be aware in the event you do end up freezing seeds at some point.