That definitely sounds like it. Have replaced a lot of those nasty little things in A/Cs and microwaves. Contact welding is the usual failure mode, often evidenced by melting of the plastic case around one or both of the contact terminals.
There should be no continuity between the 2 top terminals unless there is power applied to the coil. If an ohmmeter check shows welded contacts, you can buy a new one for about $6 from Mouser Electronics:
http://www.mouser.com/catalog/613/580.pdf Your relay is down at the bottom of the page.
