Don't know about fajr being at 1am? I know most places in the UK do fajr in these time at 1.45,2.00. the majority places who do fajr early do it at about 2.00am. with the eisha issue,Ive been told that not to delay maghrib,but then one can pray eisha a few minutes after that. so one Alim I know will pray maghraib with jamaat,and then about half an hour later will pray eisha,if he prays it at home. normally,people will pray at the masjid just to reep the rewards of praying with jamaat at the masjid.