1) Being in the Navy is a job, not going to college, so YES you do work year-round. You will NOT be able to come back home and live with your parents. You can come back to visit them.
2) You CAN"T deploy right after Boot Camp, you go to A School for training/schooling in your Rating (job). It can be from 5 weeks to 2 years in length. When finished A School you can go back home to visit your family/friends before reporting to your first command.
3) There is NO hourly wage in the military, it is a salary. E1 w/less than 4 months in you get $1357.40 per month before deductions. After that it goes up but not by much, figure making around $1000/$1300 a month in pay. The hours you work will be long, you work nights, weekends and holidays.
4) You WON"T be stationed in Singapore your first command, the commands there usually require you to be at least E5 if not E6 before assignment there. There is NO ship in Singapore, it is land based commands. The closest place for a ship is Guam. You can be stationed stateside or depending on your Rating maybe Japan, Guam, Hawaii, Greece, Spain, or Italy.