Similar to zentara's approach in Re: get n lines before or after a pattern.
The idea is to keep it short, to be independent of other lines content, to deal with file boundaries (ie to find 'jack' in firsts or lasts lines is OK).

note: the program could print the same line several times if 'jack' is found in consecutive lines - does OP want that?

#!perl
use strict;
use warnings;

my @buffer=("")x6; 
my $line;
while (@buffer) {
    push  @buffer,$line if defined($line=scalar(<DATA>));
    shift @buffer;
    print @buffer[0,1,2],$buffer[5]//'' if ($buffer[2]//'')=~/\bjack\b
+/;
    #match index:     ^                             ^       
}

__DATA__
extra jack
extra
extra
start
id 10 
address Richmond 
name jack 
xxxxx
aaaaa
lastname black 
yyyy
zzzzz
id 11
address Central
name rick 
cccccc
dddddd
lastname hanna
eeeee
yyyyy
id 12
address denver 
name jack
sssss
tttttt
lastname strong
rrrrr
mmmmm
id 13
address Virginia 
name mick 
aaaaaaa
ooooooo
lastname jagger
gggggg
hhhhhh
id 14 
address Maine
name rick
sssss
sssss
lastname stewart
ssssss
ffffff
end
extra
extra jack
[download]