As with many other running problems lately, it might be water in your gas. It's worth getting some gas de-icer and adding it. Remember, most bottles are meant for a full10-20 gallon tank, not a 4 gallon like we have. Use only what you need.
You will need to pull the tank to get to the coil. The fuel connection is not that delicate. Undo the clamp and gently twist the fuel line back and forth until it breaks free, then slide it off. There will be a little fuel that spills out but not much. A 1/4" or 5/16" vacuum cap is nice to put over the exposed fuel outlet. Now is the time to be careful, don't smack the outlet against anything or it can snap. Also, put a heavy towel over the front of the tank to protect the paint when you lift it off. It tends to bonk into the nacelle as it comes up. You don't usually need to remove the seat to get it off but you can.
Scott