The duration changes this as its better to rely on the pre existing notion of the angel of Death which you seem to be doing already rather than try and create an original Death character.

This is more of a comedy sketch which means you need a setup and a punch line. Your logline should be structured more like set up the characters involved then present the dilemma and after that a quick pay off.

Perhaps:
After Death’s son is made to take over the family business, he must persuade his father to let him pursue his dream of becoming a chef only after killing his first customer he learns to accept his position in life… death.

This could be tied into obesity and heart disease perhaps the greatest modern day killers are the results of Death’s son creations.

Hope this helps.

Agreed with all of DPGs comments wanted to add that the character descriptions needs work.

Currently the Mc is described as “…an unadventurous, spoiled young boy…” with three adjectives pick one that describes a flaw for him to learn how to be better from logically this would be from the above spoiled.

His goal the father doesn’t need to be “…beloved…” it feels labored and redundant, kidnapped boy wants to reunite with his father is enough to imply he loves his father.

Lastly if something is precious to a character we know nothing about we wouldn’t really care for the character. So the we need to know a bit more about the girl before we read about her goal. As DPG wrote she may well not need to be in the logline all together and with the need to write more about her perhaps best to not mention her or her goal.

Hope this helps.