Lolita, as several other friends said, can cause cultural and psychological associations with pornography and pedophilia. Calling this name is like calling a Chinese name "Xiao Se" or "Xiao Bian" to a foreigner, which is not very good.
Lizzy is the abbreviation of Elizabeth (Elizabeth). This name is good. For example, the protagonist of "Pride and Prejudice" has this name, as well as the Queen of England and so on.
Since your list is Lin, you can call her Linda (pronounced "Linda"). The meaning of this name is "beautiful person". It is very close to your name and will be easy for Chinese and foreign friends. Remember, writing is easy. This is probably the best fit for you.
If you like Lolita, you may consider Lola (pronounced "Lola"), which is also a common English name. This name is derived from a title of the Virgin Mary. In recent years, Very popular this year.
Just be Linda!