All of the above are correct.
The Fiscal Responsibility and Budget Management Act, 2003 (FRBMA) is an Act of the Parliament of India to institutionalize financial discipline, reduce India’s fiscal deficit, improve macroeconomic management and the overall management of the public funds by moving towards a balanced budget and strengthen fiscal prudence.
The main purpose was to eliminate revenue deficit of the country (building revenue surplus thereafter) and bring down the fiscal deficit to a manageable 3% of the GDP by March 2008. Since then, there have been several amendments to the Act essentially postponing the targets.

1 and 3 are correct.
The Reserve Bank of India (RBI) has said it will conduct on-tap targeted long-term repo operations (LTRO) for an amount of Rs 1 lakh crore to ensure comfortable liquidity conditions in the system.
The LTRO is a tool under which the central bank provides one-year to three-year money to banks at the prevailing repo rate, accepting government securities with matching or higher tenure as the collateral.
How is it different from LAF and MSF?
While the RBI’s current windows of liquidity adjustment facility (LAF) and marginal standing facility (MSF) offer banks money for their immediate needs ranging from 1-28 days, the LTRO supplies them with liquidity for their 1- to 3-year needs. LTRO operations are intended to prevent short-term interest rates in the market from drifting a long way away from the policy rate, which is the repo rate.
LTRO helped RBI ensure that banks reduce their marginal cost of funds-based lending rate, without reducing policy rates.

1 and 2 are correct.
Current account convertibility means freedom to convert domestic currency into foreign currency and vice versa for trade in goods and invisibles (services, transfers or income from investment). Individuals and entities can convert currencies in the foreign exchange market.
Current account convertibility is one part of currency convertibility.
When there is current account convertibility for rupee, an exporter can sell the US Dollars (or other foreign currency) he obtained from exporting a commodity at the market determined exchange rate in India. This means that there is no exchange controls (foreign exchange controls). Similarly, when an importer buys foreign currency from India’s foreign exchange market by exchanging rupee, it is current account convertibility.
In India, there is full current account convertibility since August 20, 1993.

Statement 2 is incorrect.
Headline inflation is a measure of the total inflation within an economy, including commodities such as food and energy prices (e.g., oil and gas), which tend to be much more volatile and prone to inflationary spikes.
Headline inflation may not present an accurate picture of an economy’s inflationary trend since sector-specific inflationary spikes are unlikely to persist.

1, 3 and 4 are correct.
The capital receipts are loans raised by Government from public, called market loans, borrowings by Government from Reserve Bank and other parties through sale of Treasury Bills, loans received from foreign Governments and bodies, disinvestment receipts and recoveries of loans from State and Union Territory Governments and other parties.
Revenue Budget consists of the revenue receipts of Government (tax revenues and other revenues like interest and dividend on investments made by Government, fees, and other receipts for services rendered by Government) and the expenditure met from these revenues.