Is it possible for someone to see the Prophet (peace be upon him) in Paradise despite the differences in ranks? Is it permissible to greet him and treat him like a father, such as kissing his hand? Will one who memorizes the Qur’an be with him in the same rank?

It appears that both men and women in Paradise will see the Prophet (peace be upon him), based on the Almighty's saying: ﴿And whoever obeys Allah and the Messenger - those will be with the ones upon whom Allah has bestowed favor of the prophets, the steadfast affirmers of truth, the martyrs and the righteous. And excellent are those as companions.﴾ (Quran 4:69). The meaning of "with" here implies seeing and visiting, not equality in rank. The Prophet (peace be upon him) also stated that whoever sees him in a dream will see him in wakefulness in Paradise.

As for women shaking hands with the Prophet (peace be upon him) in Paradise, matters of the unseen are only known through information from Allah or His Messenger, and no text has been reported concerning this. Therefore, one says: Allah knows best. The Prophet (peace be upon him) did not shake hands with women who were not his mahram in this world.

As for the one who memorizes the Quran, he will have a great reward and a high rank in Paradise, but no explicit text states that he will be a companion of the Prophet (peace be upon him). However, the Prophet (peace be upon him) will have companions from among the believers who will be close to him, and he is at a rank that no one else can equal.