Separated... OK... probably not.
Separated, filed, living completely apart, emotionally available... maybe.
Separated and still emotionally involved and having deep discussions about the relationship... forget it.
Any kind of lie about status, age, etc... forget it.
Swimsuit on first date... wrong message.
Introductions to your friends in cute swimsuits on first date... WTF?
Toddler daughter on first date... NO!
I know you're very much wanting to find a relationship right now, but your boundaries are not good at all. While I don't think broken attracts broken - nor do I think you're really broken - you are receiving terrible advice from your friends.