Sexual attraction to oneself is called autosexuality or autoplushophilia. It involves being sexually aroused by one's own physical appearance or characteristics.

No. You are describing a sexual orientation called autosexuality. Being gay is not the same as being autosexual. You are describing narcissism or insecure, self-obsessed people.

Narcissistic people will check themselves out constantly. People who are very insecure will do the same. Your self-identity is how you think of yourself, if you have self-esteem and how much. Being a boy, girl, hetero, bi or homosexual does not dictate how much you like yourself. Paris Hilton seems to check herself out often, Perez Hilton seems to do the same. It has nothing to do with their sexuality but how much emphasis they put on what others think of them.

There are lots of positions. See "Kama Sutra" by searching on the internet for this term. It is an ancient Hindu book with illustrations on how couples unite with their bodies in a relationship.