Sorry to hear about your situation. In my experience you have to be on top of home inspectors or for that matter termite inspectors. Since neither you or your husband were present they probably did as little as possible unfortunately.
Most home inspection companies report on major home systems- heating, air conditioning, roof, plumbing, washer, dryer. The ones that I have dealt with in the Washington DC area also point out damage to driveways (cracks), wood damage from faulty gutters, condition of windows, attic, they look for structural damage, signs of moisture and paint peeling among other things. They'll tell you what the big ticket items are so you can either decide to pass on the house or budget for the future expenses.
Damage to a exterior door is something that they should have reported since replacing a door is not small change. Besides it was probably obvious if they opened it, which they probably did not.
I think there may be several things you can do. Call the Realtor who you dealt with you. If she/he was at the house during the inspection they should have picked up on it. Maybe you can get some $$ from them. Call the Better Business Bureau and also the county and State that you live in. Most home inspectors have to be licensed and you may be able to file a complaint.
If you ever buy another home...always be present at the home inspection and never use a home inspector recommended by the Realtor. See an article I wrote on how to get a good independent home inspection at http://www.millennialliving.com/Activities/Homeownership/independent-home-inspections.htm. Also move on and focus on decoratoring and landscaping your new home as well.
Good luck
Tom