If your loved one served in the military, you should know what benefits affected veterans and their families may be able to pursue. Benefits and Compensation Veterans May Qualify ForMost affected veterans and families are not completely on their own. Start by documenting the veteran’s military service and likely exposure, along with any medical records. This is where the Mesothelioma Veterans Center can help. EndnoteAn asbestos exposure from years ago is always worth raising with a doctor, even if you feel fine today.