Statements 2 and 3 are correct.

Gandhara originated during the reign of Indo-Greek rulers but the real patrons of this school of art were the Sakas and the Kushanas, particularly Kanishka. Gandhara School is known for the first sculptural representations of the Buddha in human form. Its reliefs depict Buddha’s birth, his renunciation and his preaching.

Mathura school was an indigenous development. Mathura school carved out the images of Buddha as well as Siva and Vishnu along with their consorts (Parvathi and Lakshmi).

All 1, 2 and 3 are correct.

The Satavahanas also referred to as the Andhras in the Puranas, were an ancient Indian dynasty based in the Deccan region. Satavahanas dominated the Deccan region from 1st century BCE to 3rd century CE.
The dynasty reached its zenith under the rule of Gautamiputra Satakarni and his successor Vasisthiputra Pulamavi.
They formed a cultural bridge and played a vital role in trade and the transfer of ideas and culture to and from the Indo-Gangetic Plain to the southern tip of India. They supported Hinduism as well as Buddhism, and patronised Prakrit literature.
They revived the performance of asvamedha and rajasuya sacrifices.

All 1, 2 and 3 are correct.

Both the Nagara and Dravidian styles of art evolved during this period. But most of the architecture of this period had been lost due to foreign invasions like that of Huns.
The temple at Deogarh near Jhansi and the sculptures in the temple at Garhwas near Allahabad remain important specimen of the Gupta art. There was no influence of Gandhara style. But the beautiful statue of standing Buddha at Mathura reveals a little Greek style.
Metallurgy had also made a wonderful progress during the Gupta period. The craftsmen were efficient in the art of casting metal statues and pillars. The gigantic copper statue of Buddha, originally found at Sultanganj now kept at Birmingham museum, was about seven and a half feet height and nearly a ton weight. The Delhi Iron pillar of the Gupta period is still free from rust though completely exposed to sun and rain for so many centuries.

Statements 1 and 2 are correct.

Chola Paintings included humans and plants also.

Both 1 and 2 are correct.

During the Sangam period hereditary monarchy was the form of government. The king had also taken the advice of his minister, court-poet and the imperial court or avai.
Each of the Sangam dynasties had a royal emblem – carp for the Pandyas, tiger for the Cholas and bow for the Cheras.