An elderly woman fantasizes about love stories in Korean Dramas, only to realize the love that she really needs to work on is the love of her family.

Cute premise- I get it- but the logline is missing some elements. Needing "to work on...the love of her family" is only the end result, it cannot be the story. You'll need an antagonist, some conflicts, the stakes, the goals.

Lot's of unanswered questions. Not familiar with a genre known as "life comedy" either. Sounds a bit broad, IMO. This would be my logline take on your concept:

"An elderly woman, struggling to find contentment as her dysfunctional family deteriorates around her, escapes into a fantasy world, where her life plays out like Korean TV drama."

The protag- elderly woman
The antag- dysfunctional family mmbers
The goal- contentment
The stakes- losing her deteriorating family, a life of unhappiness
The conflict- (inner) dealing with old age, (outer) her family
The genre- comedy/drama
The "hook"- life fantasies in "Korean drama" format

Hope this helps!