Is the first wife entitled to demand compensation for her husband's travel with the second wife during her period of anger, and is the husband obligated to take the second wife on Hajj, even though she has performed Hajj previously?

First: If the wife is disobedient (nashizah) by going to her family's home without her husband's permission, or if she refuses to return to him, her right to maintenance and overnight stay is forfeited. Therefore, you are not obligated to spend any time with the first wife during her period of disobedience.

Second: If you travel with your wife for Hajj after winning the lottery (qur'ah), you are not obligated to make up this period for the other wife. However, if you travel with her without winning the lottery, then you are obligated to make up the days for the second wife.

Third: According to the majority of jurists, the husband is not obligated to equalize the expenses of Hajj among his wives, as justice is only obligatory in division and overnight stay. It is preferable that he gives the remaining wives a similar amount to what he gave in terms of surplus, and some scholars are of the opinion that this is obligatory.