The lathe was sold by Sears under their Craftsman label but the machine was made by the Atlas Press company. Likely from the 1940s or 1950s. Appears to be in good condition and I suspect you'll have no trouble selling it. These machines are small enough that a hobby machinist can move them pretty easily and yet robust enough to do a good range of work. The "size" of a lathe is the combination of the maximum diameter of a piece that can be turned (12" in your case) and the maximum length between the headstock and tailstock (possibly 30 or 36 inches?).
There are numerous example of similar machines on the VintageMachinery web site; here is one at random:
http://www.vintagemachinery.org/photoindex/detail.aspx?id=13025
As to price, I'm not in the USA so I can't give a good estimate. I will say that prices have escalated rapidly over the last couple of years. Lots of people seem to be looking for home-based hobbies during the pandemic and they've driven up the prices of serviceable older machines. Since you've got large and small 3-jaw chucks plus a 4-jaw, and a good range of other tooling, that increases the value of the package. Some searches on Craigslist, etc, might find some comparable listings in your vicinity.
Craig