Without actually being there to check, sounds like your door gaskets are bad. With the door closed check and see does it seal completely all the way around the door? Is it cracked/split? Warped? Separating? Open the door and check the condition of the gasket. This is the most likely suspect. Since it no longer makes that sound, and now you've got excess infiltration into the box, you most likely will have to replace that gasket. The small puddle you found is likely because there was excess moisture frozen on the coils. When that thaws out it drains into a pan on the skid underneath and normally hot gas line will run through it and evaporate it. But if there's excess amounts it can't keep up.
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iFixit Staff Suggestion: Looks like the door gasket was the issue. For other fixes, visit the [link|https://www.ifixit.com/Wiki/Refrigerator_Door_Not_Closing|fridge door won't close|new_window=true] wiki.
Without actually being there to check, sounds like your door gaskets are bad. With the door closed check and see does it seal completely all the way around the door? Is it cracked/split? Warped? Separating? Open the door and check the condition of the gasket. This is the most likely suspect. Since it no longer makes that sound, and now you've got excess infiltration into the box, you most likely will have to replace that gasket. The small puddle you found is likely because there was excess moisture frozen on the coils. When that thaws out it drains into a pan on the skid underneath and normally hot gas line will run through it and evaporate it. But if there's excess amounts it can't keep up.