What has many keys but can’t open a single lock?

You may enter, but you may not come in. I have space, but no room. I have keys, but open no lock. What am I?

These types of puzzles are known as charades. What you have to do is find two words that are referred to in the first stanza and the second stanza and put them together to form the third word in the third stanza.

Just for example, if my first refers to 'off' and my second refers to 'ice', then my whole will be office.

My first is present - future's past -
A time in which your lot is cast.

My second is my first of space
Defining people's present place.

My whole describes a lack of site -
A place without length, breadth, or height.

A man started to town with a fox, a goose, and a sack of corn. He came to a stream which he had to cross in a tiny boat. He could only take one across at a time. He could not leave the fox alone with the goose or the goose alone with the corn. How did he get them all safely over the stream?

Without looking at a calendar, within a minute name, a boy's name using 5 consecutive 1st letters of 5 consecutive months

I’m orange, I wear a green hat and I sound like a parrot. What am I?

Give it food and it will live; give it water and it will die.

How many times can you subtract the number 5 from 25?

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

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