1 and 2 are correct.
Vaishnava poet-saints known as alvars (a Tamil word denoting those drowned in Vishnu-bhakti) preached singleminded devotion (ekatmika bhakti) for Vishnu and their songs were collectively known as prabandhas.
The Shaiva movement in the South flourished at the beginning through the activities of many of the 63 saints known in Tamil as Nayanars (Siva-bhakts). Their appealing emotional songs in Tamil were called Tevaram Stotras, also known as Dravida Veda and ceremonially sung in the local Shiva temples. Ashtadhyayi – Sanskrit treatise on grammar written in the 6th to 5th century BCE by the Indian grammarian Panini.

Statements 1 and 2 are correct.
Indo-Islamic structures were heavily influenced by prevailing sensibilities of Indian architectural and decorative forms.
The Indo-Islamic architecture avoided the use of human and animal figures. While the Hindu architecture had become too congested, the Indo-Islamic architecture introduced spaciousness, massiveness and breadth to it.

The main source in the ancient world was the mountains of Badakshan, northern Afghanistan, from where it was traded widely.
Lapis lazuli was used as inlay in ornaments, jewellery, seals, etc Today mines in northeast Afghanistan and Pakistan are still the major source of lapis lazuli.
Important amounts are also produced from mines west of Lake Baikal in Russia, and in the Andes mountains in Chile.
Smaller quantities are mined in Italy, Mongolia, the United States and Canada. It was used by some of the most important artists of the Renaissance and Baroque, including Masaccio, Perugino, Titian and Vermeer.

Sarai: Dharamshala or a traveller’s lodge.
A hugely interesting feature of medieval India was the sarais which ringed cities and dotted the vast space of the Indian subcontinent. Sarais were largely built on a simple square or rectangular plan and were meant to provide temporary accommodation to Indian and foreign travellers, pilgrims, merchants, traders, etc. In effect, sarais were public domains which thronged with people of varied cultural backgrounds. This led to cross-cultural interaction, influences and syncretic tendencies in the cultural mores of the times and at the level of the people.

2 and 3 are correct.
The Padmanabhaswamy temple is a Hindu temple located in Thiruvananthapuram, Kerala. The temple is built in an intricate fusion of the Chera style and the Dravidian style of architecture, featuring high walls, and a 16thcentury gopura. The principal deity Padmanabhaswamy (Vishnu) is enshrined in the “Anantha Shayana” posture, the eternal yogic sleep on the serpent Adi Shesha. Padmanabhaswamy is the tutelary deity of the royal family of Travancore.