What is confession?

Confess

Transitive verb

1: to tell or make known (as something wrong or damaging to oneself) : admit
2 a: to acknowledge (sin) to God or to a priest
b: to receive the confession of (a penitent)
3: to declare faith in or adherence to
4: to give evidence of

(Merriam-webster dictionary)

To confess, is to tell someone something. It is a verb, therefore an object must follow. And also contain a certain kind of content. It is about the person who confess, and the bad things he had done.

Not only so, when a person confesses something, he feels sorry about the things he had done. He has a heart to repent, to turn away from the things that he had done wrong. He is ashamed of the things he had done.

Furthermore, he confesses it to someone greater than himself or the person that he had wronged against. He is seeking forgiveness. He is seeking justice and righteousness for the person he done sinned against.

Another sense of use is to declare or proclaim what a person believes. To confess is to give a statement of what he truly believes in, and this is usually done by a group of people, e.g. Westminster Confession of Faith, but also can be done individually. Of cause, of this sense a person need not feel sorry for what he believe. 

To this end, a confession hence is a statement, a proclamation, about a person’s action and/or faith, to seek forgiveness or to reaffirm his stance on something that he hold to be truth.

My question is:

Are the confessions on MCKL Confession Page really a confession?
If they are not, what are they?
If they are, who they are telling to?