The Constitution of India has borrowed most of its provisions from the Constitutions of various other countries as well as from the Government of India Act of 1935.
Important ones are:
Structural Part - Government of India Act of 1935
The Philosophical Part (the Fundamental Rights and DPSPs) - American and Irish Constitutions
The Political Part (Cabinet Government and Parliamentary Form of Government) - British Constitution (NOT AMERICAN CONSTITUTION). Hence Statement 1 is NOT CORRECT
The Constitution of India is neither rigid nor flexible but a synthesis of both. Article 368 provides for two types of amendments:
Some provisions can be amended by a special majority of the Parliament,
Some other provisions can be amended by a special majority of the Parliament and with the ratification by half of the total states.
At the same time, some provisions of the Constitution can be amended by a simple majority of the Parliament in the manner of ordinary legislative process. Hence Statement 2 is CORRECT.
But these amendments do not come under Article 368.