I have a simple way
keep a flag,when you get the name set the flag as one and if flag is one then get score.

foreach(traverse data) {
    if($data =~ /jack/) {  //put some variable here for name
        $flag=1;
    }
    if($flag ==1 && $data=~ /Math Score2 - /) {
        $score=$'; 
        $flag=0;
    }
}
[download]

Since you need to check for multiple names , you may also use
if ( grep( /^$data$/, @array ) )