Concept:
This question checks knowledge of important Indian Acts and institutions along with their establishment years.
Step 1: Examine Statement A.
The Insolvency and Bankruptcy Code (IBC) was enacted in:
\[
2016
\]
Thus, Statement A is correct.
Step 2: Examine Statement B.
The Chartered Accountants Act was enacted in:
\[
1949
\]
Thus, Statement B is correct.
Step 3: Examine Statement C.
The Competition Act was enacted in:
\[
2002
\]
Thus, Statement C is correct.
Step 4: Examine Statement D.
Indian Institute of Foreign Trade (IIFT) was established in:
\[
1963
\]
and not 1863.
Hence, Statement D is incorrect.
Step 5: Examine Statement E.
Indian Institute of Packaging was established in:
\[
1966
\]
and not 1956.
Thus, Statement E is incorrect.
Step 6: Identify correct statements.
Correct statements are:
\[
A, B, C
\]
Step 7: Conclusion.
Hence, the correct answer is:
\[
\boxed{\text{A, B, C Only}}
\]