Please help with begonias.

Wanting to help out the bees, I decided to get some flowers.
Too late to plant now, right? So, thought I should just get some already grown flowers instead for now.
So, while at Walmart today, I found a couple pots of begonias on clearance. They’re not in super awesome shape, but they had more flowers than most of the other plants. Couldn’t find anything native, but hoping they’re a bit too sensitive to become invasive in my area. (Any insight on that? I live in the middle of South Carolina. Growing zone 8a. Lots of clay in the dirt where I live.) ✅

I have a few questions for anybody who would be willing to help me with any of them:
What kind of begonias are these? ✅
Do these transplant well? I kind of want to switch them to different soil, I would guess that from a normal store the soil would have pesticides in it, right?
You can see in the pictures that some other flowers have already died. Will these continue to flower until it gets too cold?
What should I do to care for them at this point? As you can see there are some dead flowers still attached, should I leave these here to collect seeds that they will produce? Or should I cut them off? How about the damaged leaves? Anything else I should do to these plants to make them healthier now?
Is saving seed from these to plant next year possible? ✅ For example, are these easy to grow from seed? And is there anything special about collecting them storing seed from this plant that I should know?

Thank you for any help you can give. I know there are a lot of questions here, but I really appreciate anything you can contribute!

**I’m putting checkmarks next to questions that have been answered so far.
People looking for help like me will know what answers they can find here. Those who want to help will know without having to read the comments which questions are still unanswered.**

This message was edited Aug 7, 2020 4:24 PM

Those are semperflorens (always flowering) begonias. They are commonly known as wax begonias (the look like melted wax in the heat of the day) and are often used as bedding plants. They will need water though to look their best. I see so many of them planted in beds and then left to root hog or die. So during a hot dry spell they will probably die or look like death.

These may be sterile hybrids you have but if the seeds are viable then you might see some pop up next year.

If you had the species type, then you would more than likely see several come up from seed the following year once the ground is warm again. I have a few that come up from seed every year, bloom, set seed, and repeat. I call them weedy begonias but I like that. They are not invasive at all.

Here are a couple of pictures of my "weedy" begonia in flower and many seed pods (the seed inside each capsule could be hundreds as the individual seed is like dust). The first two are in dappled shade. The 3rd photo is in hot midday sun alongside succulents, growing in the crack of flagstone, perfectly happy but not as big as the ones in shady areas.