What is the ruling on mentioning the speaker's name or the name of someone dear to them to emphasize speech? And does this fall under the category of swearing by other than Allah or self-aggrandizement, knowing that an oath is the affirmation of a statement by mentioning something revered?

An oath, in Islamic law, is the affirmation of a matter that is not necessarily bound to occur rationally or customarily. It is only valid when sworn by a name of Allah Almighty or an attribute of His. The phrases mentioned in the question do not constitute a legally binding oath, and they might be intended to affirm a statement or an action, but they are not an oath. One should avoid uttering such phrases if they are meant for boasting or self-praise.