1) No (Details: Discussion 60909 • Reply 60967)
2) Yes
3) They will be given new features and new bodies which will not have been touched by another person.
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One thing that needs to be understood about Jannah is the fact that it belongs to unseen world which is yet to be created, and we have been given very limited knowledge about its content and its mechanism based on our limited view of this world, that is why it is known as ‘amoor-e-mutashabihaat‘. Therefore the only certain things are principle statements given w.r.t Jannah and one of such statements is:
إِنَّ الَّذِيْنَ قَالُوْا رَبُّنَا اللَّهُ ثُمَّ اسْتَقَامُوْا تَتَنَزَّلُ عَلَيْهِمُ الْمَلَائِكَةُ أَلَّا تَخَافُوْا وَلَا تَحْزَنُوْا وَأَبْشِرُوْا بِالْجَنَّةِ الَّتِیْ كُنْتُمْ تُوعَدُوْنَ. نَحْنُ أَوْلِيَاؤُكُمْ فِی الْحَيَاةِ الدُّنْيَا وَفِی الْآخِرَةِ وَلَكُمْ فِيْهَا مَا تَشْتَهِیْ أَنْفُسُكُمْ وَلَكُمْ فِيهَا مَا تَدَّعُونَ. نُزُلًا مِّنْ غَفُوْرٍ رَّحِيْمٍ.
On the contrary, those who acknowledged: “God is our Lord,” then remained steadfast on it [disregarding all opposition,] angels will surely descend on them [for their assurance on the Day of Judgement before the verdict is passed] and say: “Now, neither show any fear nor sorrow and accept the glad tidings of the Paradise that you used to be promised. We remained your companions in the life of the world and are also your companions in the life of the Hereafter. [The paradise whose glad tidings We are giving you] has everything in it which your heart will desire and has everything that you demand – as a means of entertainment for you from Him, Who is very forgiving; ever-merciful. (Quran 41:30-32)
(Excerpt from Quranic Exegesis: Javed Ahmed Ghamidi)
(Translated by Dr. Shehzad Saleem)
God who can create such Jannah, surely can tackle the issue of freewill, consent and liking & disliking of men and women in Jannah aswell.