I shave every day, but my beard stays the same. What am I?

What am I?

Two in a corner, one in a room, zero in a house, but one in a shelter. What am I?

I come in different shapes and sizes.
Parts of me are curved, other parts are straight.
You can put me anywhere you like,
but there is only one right place for me.
What am I?

I have cities, but no houses. I have mountains, but no trees. I have water, but no fish. What am I?

There's a day, that comes around once a year.
To celebrate the man, you hold dear.
He gave you life, love and will pick you up if you fall.
When it comes to guys like him, He's the best of all.
Who is he?

What is in seasons, seconds, centuries and minutes but not in decades, years or days?

There was a greenhouse.
Inside the greenhouse, there is a white house.
Inside the white house, there is a red house.
Inside the red house, there are lots of babies.

What is It?

12345 a famous South Indian actor
567 is a path in jumbled form
8 & 10 are same letters
9 is one among the first six alphabets.
WHO AM I?

A father's child, a mother's child, yet no one's son.

Who am I?