Based on my own experiences, trust your parents. I'm sure they have your best interests at heart. Really listen to their concerns and then try to objectively evaluate them. Your parents have much more life experience than you as well, sowhat is important to you now probably wont matter as much in 5 years or 10 years.
When I got married, I focused alot on til death do us part and could I stay with him for the long haul. What I should have focused on was for better or worse for richer or poor in sickness and in health becuse that is where the marriage is really tested. You never know how bad "worse" "poor" or "sickness" can get. Be sure that your husband can be your partner in those times and not the opposition.