Both the statements are incorrect.
Mohiniattam is essentially a solo dance performance by women in the state of Kerala. Mohiniattam combines the grace and elegance of Bharatnatyam with the vigour of Kathakali.
The Lasya aspect (beauty, grace) of dance is dominant in a Mohiniattam recital. Hence, it is mainly performed by female dancers.

Tholu Bommalata is the shadow puppet theatre tradition of the state of Andhra Pradesh. Tholu Bommalata literally means “the dance of leather puppets”. The puppeteers make up some of the various entertainers who perform all night and usually re-enact various stories from Hindu epics such as the Ramayana and Mahabharata.

1 and 2 are incorrect.
Kalaripayattu – One of the oldest martial arts in India, Kalaripayattu, although practiced in most parts of southern India, originated in the state of Kerala in the 4th century A. D.
Thang-ta – Created by the Meitei people of Manipur, Thang-ta is an armed martial art that finds its mention in the most lethal combat forms.
Mardani Khel – This is a traditional Maharashtrian armed martial art, which is practiced widely in the district of Kolhapur.

Both the statements are correct.
The main criterion for nomination is that the site must have outstanding universal value. The International Council on Monuments and Sites (ICOMOS) is responsible for recommending cultural sites and the World Conservation Union (IUCN) selects natural sites. The two councils make their recommendations.
The UNESCO World Heritage Committee, which is made up of representatives from 21 of the States Parties to the convention, then has the final word.

Statement 1 is incorrect while statement 2 is correct.
The New START treaty is a nuclear arms reduction treaty between the United States and the Russian Federation with the formal name of Measures for the Further Reduction and Limitation of Strategic Offensive Arms.
Features of the treaty:
• Number of strategic nuclear missile launchers will be reduced by half.
• A new inspection and verification regime will be established, replacing the SORT mechanism.
• The number of deployed strategic nuclear warheads is limited to 1,550.
• Number of deployed and non-deployed inter-continental ballistic missile (ICBM) launchers, submarine-launched ballistic missile (SLBM) launchers, and heavy bombers equipped for nuclear armaments to 800 will be limited.