I think your topic should be "I love the different facts of Taipei"and not "facets"
You have written a good essay but there are a few grammar mistakes.
I love the various features in Taipei.
I can simultaneously stay in a high technology, modern, fast-pace city and a city filled with art spirit and cozy atmosphere.
... This is an important sentence because you are telling the reader what Taipei is like.
Taipei is a modern, fast paced city with cozy atmosphere. It's place where one could find the latest technologies and is a great place to have fun.More important, the famous high building in the world, Taipei 101 is also in this city.
More importantly, the world famous Taipei 101 building, which is the building in the world, is also within the city.I like what you have done but it's not enough for an essay. Try to make it bigger. :)