I wouldn't necessarily use weights after being able to do 5 pull-ups straight, why not later?
And yes, weight plates (or bottles with water at the beginning) in a backpack is good to make push-/pull-ups and dips and similar stuff harder.
You can alternate push ups (dive-bombers, (pseudo-)planche-push-ups, push-ups on fists (better for the wrists) and elevated feet, push-ups with clapping, handstand-push-ups) and pull-ups (wide or narrow hand position, chin-ups, pull-ups with raised feet, pull-ups on thicker bars or on towels or ropes, pull-ups towards the neck, commando-pull-ups).
You can also do roll-outs, if you have a dumbell. You said you have a carpet, so maybe you can do "roll"-outs, by using something with a smooth surface like a piece of hard paper instead of a dumbell.
You can also do plankes, planches, l-sits and dragon flags for your abdominal workout.
You can build yourself wristrollers, squeeze tennis balls or move you fingers in sand for your forearms.
You can do burpees and (weighted) pistols.
You can use a backpack with heavy things instead of a dunbell for some exercises, though I'm not sure if that's really that great. I do though when I meet my parents, because there are no dumbells.
...
There are so many possibilities I could write on the whole day.

edit: And personally I would split between back- and biceps-focused days and chest- and triceps-focused days.