Do you free shuttle bus from Hong Kong airport to Euro Hostel

For the Euro Hostel, do you refer to the one in Chung King Mansion?
If so, there is no free shuttle bus to reach your hostel from the airport. The airport shuttle bus A21 can take you to reach Chung King Mansion easily.

You will saying the airport shuttle 21 can reached Euro Hostel at chung king mansion, is there any charges? What is the admission fees to Hongkong disney land ?

Yes, the bus A21 charges 33HK$.
The entrance fee is 450HK$ for adult.

How long is the journey from airport to chung king mansion? By the way Euro hostel is the same as Chung King Mansion.? How to go to shenzen? What other places can we go for shopping where cheap and nice clothing?

It takes around 65min by bus to Chung King Mansion. They are different, but there are several blocks of the mansion and many hostels are in the mansion, including Euro.

Do you mean going to Shenzhen from your hostel? Well, go to Hung Hom Railway Station to take East Rail Line to LoWu. Cross the border to Luo Hu, Shenzhen and then transfer to your destination there.