The items you list can serve a specific purpose; despite the fact that Crawl doesn't allow you to see items, these items can come in handy in certain situations.
Items you do not intend to use can serve as "protection" against effects (usually creature-based) that randomly affect one of your items. For example, keeping a ring of regeneration when you are a troll means that when you kill a mummy, the curse is less likely to hit an item you intend to use.
Duplicates or weaker items can be useful in two ways: as "protection" against the effects of certain attacks and as replacements for damaged items. If you have a +3/+3 long sword that gets damaged three times by acid, that +2/+2 long sword might look a little more useful to you. (Alternatively, you can carry the weaker weapons and use them in situations where they might get damaged.)
However, you don't need to carry them if you only want them as replacements. It'll work just as well to leave them and come back for them if you need them.
There are also occasions when items that are useless to you suddenly acquire a purpose. For example, if you decide to follow Elyvilon, the weapons you had that you didn't care to use can boost your piety (if you go back and pray over them). Again, though, it's not necessary to carry them; you can simply return to them and pray.