I am soft and cuddly that soothe your heart. But, If you pick my last name I am going to tear you all apart. Who am I?

What does the following BrainBat signifies?

ABCDEFGHIJKLMNOPQRSTUVWYZ

QQQQQQQQQQQQQQQQQQQQQQQQQ.

A man calls his dog from the opposite side of a river. The dog crosses the river without a bridge or a boat and manages to not get wet. How is this possible?

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

Fate has decided that you will only be pleased to meet me when you need me

Maybe that is why, when I am working, I start working

However annoying I may be to the regulars, the little ones are always inspired

I will always be waiting if you try to reach me

How many of you can guess my name, let me see

I get hot but I never sweat,
I cook food but I am not a chef,
I have a door but you can't enter me,
I have a light but I am not a lamp.
Who am I?

It comprises roots which nobody sees,
Much taller than those trees,
Up and up it goes,
Still it never grows?

What breaks yet never falls, and what falls yet never breaks?

There are five vowels (a, e, i, o, u) in the English language.
Can you tell us a word that contains all these vowels?

What jumps when it walks and sits when it stands?