The permission of the wife in the said case is required based on compulsory precaution.

Mutah is a marriage contract between a man and a woman where they agree on establishing a marital relationship with the stipulation of a dower, for a certain period of time. The said relation ends when the mentioned time elapses. Muslims have agreed on this legislation, but the second caliph prohibited it during his caliphate, and this became the reason for the differences in opinion on it, as history and jurisprudential books explained.

Yes, it is permissible based on the said scenario.

The said marriage contract is valid.

The contract can be done by yourselves, but it is better to seek the help of a religious cleric.

Yes, he is allowed, whether his wife is away or not.

Muslims have unanimously agreed that temporary marriage was legislated by the Prophet (peace be upon him and his holy progeny). The second caliph stopped people from doing it during his rule at a famous incident. Since it was legislated by the Prophet, it remains lawful and valid. And this is what the followers of the Ahlul-bait (peace be upon him) and a group of the companions of the prophets (peace be upon him) believe.

The wife can ask the husband not to remarry again but it is not obligatory on the husband to accept her request.

It is not required to obtain the permission of the permanent wife in the temporary marriage.

The woman can say: "I marry myself to you on a dower of so-and-so and for the duration of so-and-so." and mention the amount of dower and the duration of marriage and then the man accepts by saying: "I accept". He can start the contract by saying: "I marry you on a dower of so-and-so and for the duration of so-and-so" the woman then accepts by saying: "I accept".
This can be in any language.

There is no divorce in temporary marriage. The husband can waive the remaining period of the contract. If he did, then she is no longer his wife.

The refusal of the wife does not prevent a valid temporary marriage contract.

It is not a requirement for the temporary marriage contract to be valid without the father's consent that it is explicitly stipulated as a condition of the contract that no intercourse will take place.

If the contract was based on not considering the dower then it is void. If not mentioning the dower was due to oblivion, shyness or any similar reason then the marriage contract is correct and the husband must pay his wife a dower that is usually paid for a woman with similar characteristics and circumstances.

The waiting period is obligatory after the end of the stipulated duration of the temporary marriage if the marriage was consummated. The waiting period is not required if the marriage was not consummated (i.e. sexual intercourse did not take place). If the temporary marriage ended during the woman's menstruation period, then the waiting period is completed when her third menstrual period begins.
If the temporary marriage ends when she is not in her menstrual period, she should wait for one complete cycle and her waiting period is finished when her second menstrual period begins.

The temporary marriage without including the dower is invalid, so it must be stipulated even if it is a small amount. The wife can forgo it after the temporary marriage contract takes place.

It is permissible to do so as long as she is still in the state of Iddah from him, as she is still considered as his wife.

It is permissible to marry a Muslim, a Christian or a Jewish woman temporarily. Marrying a woman who does not believe in one of these three religions is not permissible. It is necessary to make sure that she does believe in one of these religions before marrying her.

No, it is not permissible.

She does not have to recite in Arabic if she cannot, but you must not marry her unless she realizes that the mentioned relation is a marriage contract with religious commitments.