Has Islam made it incumbent on us to give our children particular names?
No, it hasn`t, but it is desirable that we give them good names.
Is it permissible to offer Istikhara prayer (seeking guidance) after Witr Prayer (A confirmed Sunnah which is offered after Isha prayer and before Fajir prayer with a minimum of 3 Rak`as and a maximum of 11)?
It is permissible to offer Istikhara before and after Witr prayer as it is permissible at any time except that in which prayer is disliked. And Allah Knows Best.
Islamic creed is a comprehensive creed, and if there is any defect, the creed of the individual or group is not correct. Is the creed of the Sufis correct or not?
Sufism is the practice of applying knowledge; this is how Al-Imam Al-Sha'rani defined it. If some among them have deviations in creed, it is not permissible to generalize this to all Sufis, as there are those among them who are acknowledged by all scholars for their knowledge and virtue. And Allah The Almighty Knows Best.
A man cursed Allah, is he allowed to perform prayer without making Ghusl?
All perfect praise be to Allah the Lord of the Worlds. May Allah`s peace and blessings be upon our Prophet Mohammad and upon all his family and companions.
Cursing Allah is an act of apostasy and one who commits it must utter the testimonies of faith, make repentance, take back wife; however, it isn`t conditioned that he makes Ghusl (Full body ritual purification) to pray. And Allah The Almighty Knows Best.