At your touch, all of the curses would affect one creature or an object end. As per this Remove Curse 5e spell, if the object was a cursed magic item, its curse would remain, but the dnd spell breaks its owners attunement for the object that’s why it could be removed or else discarded.
Also read: divine favor 5e spell
Attributes Of d&d 5e Remove Curse spell
| Casting Time | 1 action |
| Classes | Cleric, Paladin, Warlock, Wizard |
| Components | V S |
| Duration | Instantaneous |
| Level | 3 |
| Name | Remove Curse |
| Range | Touch |
| School | Abjuration |
| Target | One creature or object |