Write your Student ID$.$ Consider x is $8$

Consider the RSA algorithm. For p$=3,$ q$=7,$

$1.$ Compute the public key and the private key. $(5$ points$)$

$2.$ If x is even $(0$ is also even$)$ for your Student ID$,$ then encrypt and decrypt the message m $=2$ by using the RSA algorithm. Otherwise, if x is add for your Su encrypt and decrypt the message m $=3$ by using the RSA algorithm. $(4$ points$)$

$3.$ Can we pick q$=6$ instead of q$=7?(1$ point$)$

Show all the necessary calculations.