Beyond logic

Though logic works fine in most cases,many things have happened which force me to look beyond logic for an explanation,can everything have a reason,is everything accounted for by science,or is there a fundamental flaw in our reason itself,is what we call science just not scientific enough to explain everything?
My dog used to sense my dad's homecoming 5 minutes before he used to come,no matter at what what time papa used to come,he would sit beside the door and start hitting the door with his paws,how is that explained?
I usually get the minimum marks in the exams for which i study the most(i am serious),how is this explained?
Can anyone explain a mother's love to me?
Some people i like so much for no particular reason,and others i dislike equally for no reason at all,how is that explained?
Is sixth sense accounted for by science?
i wont write more,but your comments are most needed and welcomed!