They decorate the inn for the open house, with wreaths and garlands outside on the porch. But then the next day, when she sits down to draw the sketch him, they show the outside of the inn and it's bare again.
There is only a two-hour time difference between Hawaii and California. This means when her parents call from Hawaii during the day it would have still been day in California not late night as depicted.
When Jen arrives at the Inn, she supposedly lights a piece of firewood with a butane lighter without any kindling or flammable items. This is not physically possible.
There is no "direct flight" from anywhere in the Lower 48 to Alaska, unless it is to Anchorage - and there is no way you could take a flight from San Francisco in the afternoon and arrive anywhere near Alaska - let alone continue to a small town - in time to attend the town festival that evening.