She asked if/whether she could see my manager / She asked to see the manager.
SHE: "You didn't need to apologise about what happened this morning, the past is in the past"
She said/ She told me I needn't have apologised about what had happened that morning and that the past was in the past.
"Shall I bring you something to drink?" he asked her.
He asked her whether/if he should bring her something to drink.
HE: "Honestly, I didn't intend to copy your work" CHOOSE: announce / swear / check
He swore he had not intendended to copy my work.
SOME SECRET AGENT: "I've been a double agent all this time" CHOOSE: grumble / reasure / reveal
He revealed he had been a double agent all that time.
HE: "I have a gambling problem" CHOOSE: report / admit / confess
He admitted/confessed he had a gambling problem / He admitted to/confessed to having a gambling problem.
SHE: "You should take up the guitar." CHOOSE: advise / emphasise / hope
She advised me to take up the guitar.
SHE: "Can I finish this faster if I multitask?" CHOOSE: claim / wonder / hope
She wondered if/whether she could finish that faster if she multitasked.
SHE: "I should have asked them to show me their identification" CHOOSE: regret / worry / claim
She regretted that she hadn't asked them to show her their identification / She regretted not asking/ not having asked them to show her their identification.