My hometown of Taiwan.

Taiwan is located in east Asia. It is between Eastern China East, Japan and south west Korea. This is where I am from.
A sailor had exclaimed"Ilha Formosa！"that means amazing beautiful place on the ship when Dutch ship went though Taiwan in 16th century.
The sea hug around Taiwan and many mountains grow through this land that beautiful river flow through.
Although Taiwan is so mini but it both has picturesque view and modern city
You can enjoy view when you work in the city.

Let's mini introduction of my hometown.

My hometown of Taiwan

Taiwan is located in Asia east of the place on which mainland China East and southwest of both japan and Korea Southwest where I am from.
A sailor had exclaimed "Ilha Formosa！" that meaning "amazing beautiful place", on the ship when his Dutch ship went though Taiwan in the 16th century, and that is the origin of the old name for Taiwan, 'Formosa'.
The sea hug around surrounds Taiwan and there are many mountains grow through the length of this land that has so many beautiful river flow through.
Although Taiwan is so mini small yet but it both has both picturesque viewS and modern citIES
You can enjoy lovely viewS when you work in the city.

Let's That's my mini-introduction to of my hometown.

My hometown of Taiwan...Taiwan is a country not a town. Do you mean Taipei?

Taiwan is located in Asia east of the place on which China East and both japan and Korea Southwest where I am from. Sorry, but this line is incomprehensible and I can not understand enough to even try to correct it.
A sailor had exclaimed "Ilha Formosa!" when a Dutch ship went though past Taiwan in the 16th century." that It means 'amazing beautiful place'. on the ship when Dutch ship went though Taiwan in 16th century.
The sea hug surrounds around Taiwan and there are many mountains grow through on this land island. that A beautiful river flows through Taiwan.
Although Taiwan is so mini small but it is both has picturesque view and modern. city
You can enjoy the view when you work in the city.

Let's This is a mini introduction of my hometown.

Good try. Though might I suggest you try something a bit simplier first. Also please think about investing in a good English grammar book and/or some classes to start looking at English sentence structure and grammar.