Is prayer mandatory on a dying person who goes through a state of unconsciousness, then wakes up?
                                If he wakes up and was conscious, then he should pray the way/manner he could, but if he wasn't, then he is exempted from obligatory prayer as Allah Says in this regard (What means): "On no soul doth God Place a burden greater than it can bear." [Al-Baqarah/286].
                             
                        
                            
                                
                                Is it permissible to offer Tahajjud prayer after Witr prayer?
                                It is permissible to offer voluntary prayer after Witr (An odd number prayer performed between Isha and Fajr) prayer. However, it is desirable that the night prayer be ended with Witr. Therefore, it is desirable for one, who thought that he was most probably going to wake up at night in order to offer Tahajjud, to offer Witr after it, but one, who fears that he might not wake up, should offer Witr before going to bed.
                             
                        
                            
                                
                                Is Fajr (dawn) Sunnah a confirmed one?
                                All praise be to Allah The Lord of The Worlds                                                                                                                                                                                  Of course, it is a confirmed Sunna which the Prophet (PBUH) used to offer in a regular basis. And Allah Knows Best.
                             
                        
                            
                                
                                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.