Which of the following statements about Mughal Gardens in Kashmir are correct? 

I. Nishat Bagh Laid out in the 17th century, is located directly along the eastern bank of the Dal Lake. 

II. The two most important structures within the Shalimar Bagh are the Pink Pavilion, in the Diwan-i-Aam zone of the garden, and the Black Pavilion, located in the Diwan-i-Khas. 

III. Achabal Bagh was also known as Sahebabad during the Mughal period, in memory of the Mughal Emperor Jahangir

Nishat Bagh: Known for its $12$ terraces representing the signs of the zodiac, it offers a magnificent view of the lake and the Pir Panjal range. Unlike Shalimar, it does not have a central black marble pavilion but is celebrated for its massive Chinar trees.Shalimar Bagh (The Abode of Love): Built by Emperor Jahangir for his wife Nur Jahan in $1619$. It is divided into three terraces: the outer garden (Diwan-i-Aam), the central garden (Diwan-i-Khas), and the uppermost Zenana garden. The Black Pavilion in the Zenana terrace is surrounded by water fountains and is an architectural masterpiece of the Shah Jahan era.Achabal Bagh: Located in Anantnag, this garden is famous for its natural spring that gushes out of the Sosanwar hill. It was designed by Nur Jahan and is often considered the most "spiritually tranquil" of the gardens.