Mysteries to exercise your mind

Mystery one

A man was found murdered Sunday morning. His wife immediately called the police.

The police questioned the wife and staff and got these answers:

The wife said she was sleeping.
The cook was preparing breakfast.
The gardener was gathering vegetables.
The maid was getting the mail.
The butler was polishing shoes in the pantry.

The police instantly arrested the murderer.

Who did it and how did they know?

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Mystery two

A man walks into his bathroom and shoots himself right between the eyes using a real gun with real bullets. 
He walks out alive, with no blood anywhere and no, he didn't miss and he wasn't Superman or any other 
crusader wearing a cape.

How did he do this?

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Mystery three

Poor Mr. Teddy was found dead in his study by Mr. Fiend.
Mr. Fiend recounted his dismal discovery to the police:

"I was walking by Mr. Teddy's house when I thought I would just pop
in for a visit. I noticed his study light was on and I decided to peek
in from the outside to see if he was in there. There was frost on the window, so I had to wipe it away to see inside. 
That is when I saw his body. So I kicked in the front door to confirm my suspicions of foul play. I called the police 
immediately after-ward."

The officer immediately arrested Mr. Fiend for the murder of Mr.Teddy.

How did he know Mr. Fiend was lying?

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Try to figure these questions before looking at the answers below.

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ANSWERS
1. It was the Maid. She said she was getting the mail but there is
no mail delivery on Sunday.

2. He shot his reflection in the bathroom mirror.

3. Frost forms inside of the window, not the outside. So Mr. Fiend
could not have wiped it off to discover Mr. Teddy's body.