How to check who gave me an infraction/reputation ?

I got Red and Green.
On some there are comments with name.
But few infractions and reputation does not say who gave this to me.

Are names included automatically or people add their name themselves after the end of comments ?

I hope you understood what i mean.

 

If you are talking about reputation, it is up to the person giving it out if they want to leave their name or not. Some people do, but most people choose not to (especially if it's red).

Reputation is not a moderated area, so users can leave whatever comments they wish (even nasty little ones).

 

So if i click on "I approve" on your post without adding any comment, Will you see my name ?

 

That is what the comment box below the "I approve" or "I disapprove" buttons is for. You can write whatever you want in there like:

nice post - Firegirl
go away

It's up to you to leave your name or not...