The wedding is the official ceremony/party. (The party is usually called the "reception"):
I'm going to my cousin's wedding on October 7.
We want to have a band at our wedding reception.
The wedding will be at the church, and the reception will be at a restaurant. The marriage is the relationship in general, or the institution in society:
My parents have a strong marriage. They've been together for 35 years.
New York has just legalized gay marriage.
Over 40% of marriages end in divorce.
The word married describes the status of a person. Use married to (not "married with") when you describe the person's husband/wife:
My sister isn't married. She's single.
I've been married for 5 years.
He's married to a woman from another country.
She's married to a successful businessman.
We use marry or get married for the action of formalizing the marriage:
He married a woman he'd known since high school. They finally got married after dating for ten years.
She's going to marry a famous actor. They're getting married next month.
Fact
The reason why tattoos do not vanish even though we shed our skin is because the dye is injected deeper into the dermis part of the skin. It is only the epidermis that we shed .. More >>