Statement 1 is correct while statement 2 is incorrect.
Article 71 of the Constitution provides that disputes arising out of the election of the President or Vice-President shall be decided by the Supreme Court. The same article provides that matters relating to their election shall be regulated by a parliamentary law.

Statement 1 is correct while statement 2 is incorrect.
The President is an integral part of the Parliament of India, and enjoys the following legislative powers.
He can send messages to the Houses of Parliament, whether with respect to a bill pending in the Parliament or otherwise.
He decides on questions as to disqualifications of members of the Parliament, in consultation with the Election Commission.
He can make regulations for the peace, progress and good government of the Andaman and Nicobar Islands, Lakshadweep, Dadra and Nagar Haveli and Daman and Diu. In the case of Puducherry also, the President can legislate by making regulations but only when the assembly is suspended or dissolved.

Statement 1 and 2 are correct while statement 3 is incorrect.
The President has the veto power over the bills passed by the Parliament, that is, he can withhold his assent to the bills.
The President has veto power with respect to state legislation also. A bill passed by a state legislature can become an act only if it receives the assent of the governor or the President (in case the bill is reserved for the consideration of the President).

Both the statements are correct.
The International Criminal Court (ICC), located in The Hague, is the court of last resort for prosecution of genocide, war crimes, and crimes against humanity. It is the first permanent, treaty based, international criminal court established to help end impunity for the perpetrators of the most serious crimes of concern to the international community.
Its founding treaty, the Rome Statute, entered into force on July 1, 2002. Although the Court’s expenses are funded primarily by States Parties, it also receives voluntary contributions from governments, international organisations, individuals, corporations and other entities.

Researchers have reported that Pleistocene-era rock paintings dating back to 45,000-20,000 years ago in cave sites in southern Sulawesi, on the Indonesian island of Sulawesi, are weathering at an alarming rate.
The artwork made with pigments was decaying due to a process known as haloclasty, which is triggered by the growth of salt crystals due to repeated changes in temperature and humidity, caused by alternating wet and dry weather in the region.