Inventory that sells itself

Nothing — resellers use both words for the same thing: ending a listing and creating a brand new one, which the marketplace treats as fresh. You'll also hear "relist" used for rerunning an expired eBay auction, which is a different thing entirely.

Yes. Relisting creates a wholly new listing in the eyes of the marketplace. So you lose any accumulated history or watchers by doing so. Relisting is a tool in your armoury that you should use once sending offers to watchers has been exhausted. If your item has sat for 30+ days with no watchers, or you have exhaused your offers, then you have nothing to lose and everything to gain by relisting items like these.

Yes. Repricing rules can factor in a floor, so nothing ever drops below what you're willing to accept.

Yes. You can configure auto accept levels on offers to improve the efficiency of offer management.

For marketplaces where order sync is enabled, Listing Monster will mark the item has sold and delist it across all connected marketplaces. For marketplaces currently without order sync, you must manually mark items as sold to end their listing journeys.