Younger people are more easily offended I just want to point this out they tend to get more upset more easily over things. As you get older you tend to well loosen up a lot you see real racism and what is funny to some people is offensive to others. I wont get into the sunburn thing I know black people burn haha I have a friend who wears sunblock to avoid getting black as tar. In any event there is no way to please everyone especially with humour. I dont think its possible to not offend someone when being funny. Some people get offended if they hear swearing. Some get offended with body language some get offended with parodies and I can go on and on and on. I didnt chuckle a whole lot but I did find the video creative. I come from the generation that finds monty python and the holy grail funny... though..
I am going to point out another very old steriotype you will get as a korean making such a video and you are likely quite aware of the racial issues between asians and blacks in general however that generation is long gone and the newer generation does not carry that baguage.