my car was parked and got hit and run. i have liablitly insurance and underinsured motorist property damage. does the underinsured cover hit and run?

Yes, your underinsured coverage should provide you coverage for this incident.  UM coverage should apply in this sitatuation.  I would locate your policy, read the section on UM coverage and contact your agent.  Best of luck! NOTE:  This response is general in nature and should not be considered legal advice.  No attorney-client relationship exists or is formed by this response.