“Sensu”　is　said　a　symbol　of　goodluck　　item　in　JAPAN.

"Sensu" is said to be a symbol of good-luck item in Japan.

Why do we add the hyphen? 'item' is a noun. A word explaining the character of a noun is called adjective. Example: red/big/useful/future (adjective) item (noun). Now, when the adjective is not 1 word like 'red', 'big', 'useful', 'future', but 2 or more words, we add hyphen. Examples: businessman-turned-monk old man, two-storey building, and good-luck item.

Alternatively, you can say 'auspicious' if you don't want to use the hyphen.

It　mean　is　that　from a state to spread　out　a bone from the pivot, this is because it is understood that It’s spread various possibility.

Rudo's suggestion +1

About folding fan.

The last sentence's meaning is very vague... and should be split into two different sentences (a little bit advanced)

The fan spreads out when opened, similar to that of a blooming flower. As the fan starts from a single point and the wooden strips go out to various directions, they are considered to resemble the various possibilities in life.

About Japanese Fans

Please correct these sentences for me.

The fan is called “Sensu” in Japanese.
“Sensu”　is　said　a　symbol　of　goodluck　　item　in　JAPAN.

“Sensu” are said to symbolise good luck in Japan.

It　mean　is　that　from a state to spread　out　a bone from the pivot, this is because it is understood that It’s spread various possibility.

Just as the fan spreads out from it’s pivot, it’s said to also spread various possibilities.

**面白い！このノートを読むのが楽しかったです。I hope my corrections were helpful!**