We were in the same boat. We had our second child in March and my wife had to take all of her vacation time (14 days), plus maternity leave at 60% of pay for the remainder of the 6 weeks she was off. Now, as it stands, she has no sick/vacation time since she got back to work and with 2 children in daycare, they get sick often. I've been taking time off of work that I dont have and have been working from home, but I am taking advantage of my work situation and feel bad about it
Sounds like your company paid you well for time when you did not contribute to them at all (3 months), and in general, their time off policies sound pretty sweet.
Welcome to the real world.