Is it permissible for a menstruating woman to recite the Quran from the computer without actually touching the Quran?
                                It is not permissible for a woman in her menstrual period, or in postpartum to recite the Quran, even by heart, or without actually touching the Quran itself. Recitation itself is what is prohibited on her regardless of how it is done. However, it is permissible for her to surf through the Quran by her eyes, or to recall it in her head without uttering the words. There is no harm for her to look at the Quranic verses on the computer without touching it, or to utter the words as this is called looking not reciting or reading.
                             
                        
                            
                                
                                Is it permissible for us to sever ties of kinship if our blood-relatives` gatherings/meetings involve acts of sin?
                                Observing kinship ties is obligatory, and paying your blood-relatives a visit causing their sinful acts to be hindered , then you should do so. However, if their sinful acts continue while you are at their gathering and they didn't respond positively, then observing kinship ties via telephone and the like will suffice in this case. And Allah Knows 
                             
                        
                            
                                
                                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.
                             
                        
                            
                                
                                Is it permissible for a woman who is in her confinement to fast upon seeing blood signs that are neither black, nor red ?
                                Brownish, reddish, and yellowish discharges are all considered confinement until there is no colored discharge which marks the end of confinement. Moreover, the aforesaid woman is prohibited from fasting until she attains ritual purity. And Allah Knows Best.