Given the relation:

REL$(h,i_{,}j,k_{,}l,m_{,}n,o,p)$

It has been determined that the relation is qualifies as $1NF,$ and the following dependencies are known:

i$,$ k$,$ m $--->$ h$,$ j$,$ l$,$ p

i$,$ k $--->$ n$,$ o

j $--->$ p

Which of the following statements are correct?

The relation is definitely not in $2$ NF

The relation is definitely in $2$NF

The relation may be in $3$NF$,$ but insufficient information to make determination

The relation is definitely not in $3$NF