Windstar starts/runs rough after rain

I have a 2002 Ford Windstar that has been running and starting rough for awhile after a heavy rain/car wash sometimes causing the check engine light to come on briefly. It's always started up though until yesterday when it wouldn't start up at all-only clicked once when key was turned. Tried to jumpstart but wouldn't start. Had it towed to a shop where they said it had dumped all the antifreeze and that the engine was covered in oil. They said it wasn't worth putting money into but turned the engine over until the antifreeze was out and then it started and ran fine on the way home. I find it hard to believe it didn't have anything to do with the fact we had three straight days of heavy rain but they said it was just a coincidence. There was a little plastic cap towards the front left side of the engine that was askew but not sure that might be related. Any ideas or suggestions would be appreciated. Would love to save this van if possible. Thanks
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