Heavy Rains Causing Engine Problems

I have a 99 Mitsubishi Mirage with 40,000 miles on it. We've been having a great deal of rain in the past few weeks and after a rainstorm, if the car has been sitting in the driveway for hours while I'm at work or during the night, when I start it up and begin to drive, it feels like it is going to stall - the engine feels like it is hesitating. The service engine light also comes on. I've noticed that once I get onto the highway and get my speed higher than 40 mph, it no longer feels like it will stall. After driving the 47 miles to work or home - the car is fine until the next rain storm. The engine light stays on until the next day but the driving feels fine. I'm bringing it into my dealer next Monday but I wanted to get some opinions on what may be going on.
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Here's another question - Is this something common for a car with 43,000 miles on it? I'm always worried about reliability and just want to make sure this isn't a bad sign of things to come.