Is what happened considered a marriage contract, or is there a specific wording that must be uttered for this gathering to be considered a marriage contract?

It appears that what transpired between the inquirer's father and the girl's father does not constitute a valid marriage contract, as there is nothing to explicitly indicate a request for marriage or an acceptance of the marriage contract. A marriage contract is formed with a specific formula, such as "I give [her] to you in marriage" (zawwajtu) or "I marry [her] to you" (ankahtu), to which the other party responds with acceptance.