I dont think you can say one opening is better than the other because everyone has there own style of play. The move d4 leads more positional game while e4 is tactical.
No, theoretically e4 is the better move according to several engines...
Noone gives the slightest fook about what engines say on openings- unless he is a fool.
It just depends on your preference and what you feel comfortable with.
I prefer 1. d4, but some people play 1. c4, 1. Nf3, 1. Nc3, 1. f4 (haven't played against that yet though)