1 and 2 are correct.
A country’s current account is one of the two components of its balance of payments, the other being the capital account (also known as the financial account). The current account consists of the balance of trade, balance of services and remittances.

Statement 1 is correct while statement 2 is incorrect.
Samkhya School of philosophy is the oldest school of philosophy and was founded by Kapil Muni. It believed that salvation could be attained through the acquisition of knowledge. This school believed in dualism or dvaitavada, i.e. the soul and the matter are separate entities. This concept is the basis of all real knowledge.
Vaisheshika School: This school has a very scientific approach, they developed the atomic theory, i.e. all material objects are made of atoms.

Vishakhdutta wrote Mudra Rakshasa (is a political drama and narrates ascent of king Chandragupta Maurya to power in India).

All are sources of methane emissions.
Methane is emitted from a variety of anthropogenic (human-influenced) and natural sources. Anthropogenic emission sources include landfills, oil and natural gas systems, agricultural activities, coal mining, stationary and mobile combustion, wastewater treatment, and certain industrial processes.
Stomachs of cattle, fermentation in rice fields, fracking of natural gas, coal mines, festering bogs, burning forests — they all produce methane.

Statement 1 is correct while statement 2 is incorrect.
IPCC is the United Nations body for assessing the science related to climate change. It was established in 1988 by UNEP and WMO (World Meteorological Organization) to provide policymakers with regular scientific assessments related to climate change.
India is a member of IPCC.
IPCC itself does not conduct any research nor does it monitor climate related data or parameters. Instead, thousands of scientists from all over the world contribute to the work of IPCC on a voluntary basis.