98 Acura CL problems with RPM's and starting when it rains.

Randomly, and more consistently during heavy rain/fog, my car will take very long to start, often 10+ key turns. When it starts, it will putter and then die. It does this 1-3 times normally before it will stay running in idle. Once I begin to accelerate, the RPM's will die out, sometimes to the point the car dies completely, it will start right away then, but will only accelerate properly when I'm really heavy on the gas. After running for 10 minutes or so, the problem ceases, and it will start and run fine for the remainder of the day. I have a general exhaust code on my check engine light, although it will blink when this problem happens, and go away after the first run, as it operates normally after it is started and run for 10 minutes. What is the problem?