Please help me on how can I retain that Case-I selection as well when the page is submitted in Case-II and reloaded.

Its simple, save the state somewhere,

my $yo = LoadUserSession($user);
...
if( $action == 'page-12-form1' ){
    $yo->save_param( $query, [qw/ form1-ro form1-sham form1-bo /] );
}
elsif( $action == 'page-12-form2' ){
    $yo->save_param( $query, [qw/ form2-ro form2-sham form2-bo /] );
}
[download]

Now the server knows about the user and what forms hes submitted, and you can request this information at any time