Statement 1 is incorrect while statement 2 is correct.
The Constitution (Article 4) declares that laws made for admission or establishment of new states (under Article 2) and formation of new states and alteration of areas, boundaries or names of existing states (under Articles 3) are not to be considered as amendments of the Constitution under Article 368. This means that such laws can be passed by a simple majority and by the ordinary legislative process.
Indian territory can be ceded to a foreign state only by amending the Constitution under Article 368.
Settlement of a boundary dispute between India and another country does not require a constitutional amendment. It can be done by executive action as it does not involve cession of Indian territory to a foreign country.

Option A: To promote the welfare of the people by securing a social order permeated by justice – This provision is Originally available under the Article 38.
Option B: To minimize inequalities in income, status, facilities and opportunities- This is added to Article 38 through 44th Constitutional Amendment Act.
Option C and Option D: These provisions were added through 42nd Constitutional Amendment.

Compulsory Provisions of the 73rd Constitutional Amendment Act (1992) or the Part IX of the Constitution:
1. Organisation of Gram Sabha in a village or group of villages.
2. Establishment of panchayats at the village, intermediate and district levels.
3. Direct elections to all seats in panchayats at the village, intermediate and district levels.
4. Indirect elections to the post of chairperson of panchayats at the intermediate and district levels.
5. 21 years to be the minimum age for contesting elections to panchayats.
6. Reservation of seats (both members and chairpersons) for SCs and STs in panchayats at all the three levels.
7. Reservation of one-third seats (both members and chairpersons) for women in panchayats at all the three levels.
8. Fixing tenure of five years for panchayats at all levels and holding fresh elections within six months in the event of supersession of any panchayat.
9. Establishment of a State Election Commission for conducting elections to the panchayats.
10. Constitution of a State Finance Commission after every five years to review the financial position of the panchayats

Statement 1 is correct while statement 2 is incorrect.
Most of the FRs are available against the arbitrary action of the State, with a few exceptions like those against the State’s action and against the action of private individuals. When the rights that are available against the State’s action only are violated by the private individuals, there are no constitutional remedies but only ordinary legal remedies. They are not sacrosanct or permanent. The Parliament can curtail or repeal them but only by a constitutional amendment act and not by an ordinary act.
Moreover, this can be done without affecting the ‘basic structure’ of the Constitution. They can be suspended during the operation of a National Emergency except the rights guaranteed by Articles 20 and 21. Further, the six rights guaranteed by Article 19 can be suspended only when emergency is declared on the grounds of war or external aggression (i.e., external emergency) and not on the ground of armed rebellion (i.e., internal emergency).

Both the statements are correct.
AOSIS is a coalition of small islands and low-lying coastal developing states.
To achieve its goals, AOSIS often draws on partnerships, including with the United Nations Development Programme (UNDP) and the European Commission, to bolster its capacity to effectively influence climate negotiations, some of the most complex and difficult in the world. AOSIS also makes vital contributions by helping its members to pool their resources and amplify their collective voice in climate talks.