I hate to tell you this, but once you sign the form you are essentially verifying the movers' assessment of the condition of your property. B.L., you may very well be SOL, regardless of the shadiness of the contractor. If you were "too busy/distracted" to go over the form before you signed it, you have no one else to blame for your current predicament.
Ram did give you sage advice, you f-ed up, by your own admission. Learn from it.