After one year

After one year and a day of being separated, if the one if the parties do not want to file for divorce, are you still allowed to date other people without consequence or do you still have to be divorced?

You can date, and spend time with whoever you chose, however it can make settling property and alimony issues (if applicable) more difficult to deal with.
Adultery, having sex with someone other than your spouse, is still a crime in this State.