Option b is correct.

Lomas Rishi Cave is carved into the hard-monolithic granite rock face of Barabar hills, flanked to its left by the smaller Sudama cave.
This rock-cut cave was carved out as a sanctuary. It was built during the Ashokan period of the Maurya Empire in the 3rd century BC, as part of the sacred architecture of the Ajivikas.
The hut-style facade at the entrance to the cave, which was meant as a milk shed, had an impact on South Asian rock-cut architecture. It became a model for all such arched entrance portals built at many other Buddhist and Jain caves in India, such as the much bigger Buddhist Chaitya halls of Ajanta or Karli in Maharashtra.

Only 2 is incorrect.

Unlike Mughal painting which is primarily secular, the art of painting in Central India, Rajasthani and the Pahari region etc. is deeply rooted in the Indian traditions, taking inspiration from Indian epics, religious texts like the Puranas, love poems in Sanskrit and other Indian languages, Indian folk-lore and works on musical themes. The cults of Vaishnavism, Saivism and Sakti exercised tremendous influence on the pictorial art of these places

All 1, 2, 3 and 4 are correct.

The Pala period (750 A.D. to the middle of the 12th century) witnessed the last great phase of Buddhism and of the Buddhist art in India. The Buddhist monasteries (mahaviharas) of Nalanda, Odantapuri, Vikramsila and Somarupa were great centres of Buddhist learning and art.

1 and 2 are correct.

The earliest examples of miniature painting in India exist in the form of illustrations to the religious texts on Buddhism executed under the Palas of the eastern India and the Jain texts executed in western India during the 11th-12th centuries A.D.
The Pala dynasty came to power around 750 A.D. The Pala school of art first flourished in the Magadha region of Southern Bihar, the homeland of Buddhist religion. Not surprisingly, the majority of early Pala-period remains are Buddhist. The Pala painting is characterised by sinuous line and subdued tones of colour. It is a naturalistic style which resembles the ideal forms of contemporary bronze and stone sculpture, and reflects some feeling of the classical art of Ajanta.
The Pala art came to a sudden end after the destruction of the Buddhist monasteries at the hands of Muslim invaders in the first half of the 13th century. Some of the monks and artists escaped and fled to Nepal, which helped in reinforcing the existing art traditions there.

According to Jain doctrine, the universe and its constituents—soul, matter, space, time, and principles of motion—have always existed. All the constituents and actions are governed by universal natural laws.