What are the criteria? This script looks for all lines in File2 that contain any of the letters after the name, but the ouput doesn't match yours:

Code:

while read name a b c d e
do
  [ -n "$a$b$c$d$e" ] &&
  result=$( grep ${a:+-e " $a"} ${b:+-e " $b"} ${c:+-e " $c"} \
             ${d:+-e " $d"} ${e:+-e " $e"} File2 | cut -d ' ' -f1)
  set -- $result
  echo "$name" $result
done < File1