All answers are correct.
A house built near Odysseus'
A wife
A heritage of their own
the blind prophet.
She must promise him that she will not use any magic on him.
Odysseus gave them money, villages, and respect.
marriage
After sacking Ismarus, Odysseus tells the men to return to the ship with their booty, but they do not comply. On the island of the Lotus Eaters, Odysseus commands 3 men to go back to the ship, but they will not comply and have to be dragged back. After visiting Aeolus, keeper of the winds, his men, thinking there is treasure in the sack Aeolus gave to Odysseus, open it, unloosing the winds. After rowing hard passing Scylla and Charybdis, Odysseus orders his men to row on, but they refuse, forcing the ship to port at Thrinacia. When they had arrived on the island of Thrinacia, home of Lord Helios' immortal cattle, Odysseus made them promise to not do anything to the herd. At first they were able to keep that promise, but soon, because there was no wind, they were stranded on the island with no food and only the cattle to stare at. So of course, they betrayed Odysseus and attacked the cattle instead of listening to him. It ended up with the God Zeus punishing them with only Odysseus surviving.
Odysseus promises Philoetius and Eumaeus that once his plan to defeat the suitors is successful, they will continue to serve him and receive his protection and friendship. He reassures them that they are valued members of his household and will be rewarded for their loyalty and bravery.
Odysseus promised Philoetius and Eumaeus wealth and land in return for their loyalty and assistance in helping him reclaim his palace from the suitors.
Odysseus promises his swineherd, Eumaeus, and Philoetius the cowman each a wife, a grant, and a new house built next to Odysseus' palace. He also says that he will consider both Telemachus's friends and brothers.
the blind prophet.
She offers Odysseus immortality.
She must promise him that she will not use any magic on him.
That Cyclops will eat Odysseus last of the men.
Immortality
Odysseus gave them money, villages, and respect.
marriage
Immortality
If you mean "WHAT does Odysseus make Penelope promise" is that if he doesn't come back by the time their son is a man, Penelope has to get remarried. That's how I heard it. If that's not right, then, Sorry!!