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It isn't going to do anything until you change the line:
echo mv "$file" "$new"to:
mv "$file" "$new"

That change only affects the 1st line of the output. With your sample input, it changes the header from:
SG1 SG2 SG3to:
, SG1 SG2 SG3
If your input file is comma delimited rather than...

I'd say my code does work VERY well.

Using your sample code on your sample files, I getawk 'BEGIN{OFS = "\t"}
NR == FNR {a[$2 " " $3] = $1; next}
{a[$2 " " $3] = (a[$2 " " $3] OFS $1)}
...

If you are using a Solaris/SunOS System, change awk in the script to /usr/xpg4/bin/awk, /usr/xpg6/bin/awk, or nawk.

No matter what system you're using, change the last line of the script from:
...

Try (untested):awk 'BEGIN {OFS = "\t"; HD=OFS OFS}
FNR == 1 {HD=HD OFS FILENAME}
FNR == NR {a[$2 " " $3] = $1; next}
{a[$2 " " $3] = (a[$2 " " $3]...

awk 'BEGIN{OFS = "\t"}
NR == FNR {a[$2 " " $3] = $6; next}
{a[$2 " " $3] = (a[$2 " " $3] OFS $6)}
END {for(x in a) print (x OFS a[x])}' file1 file2 file3...

In addition, note that:
FILES=/usr/desktop/input/*
For f in $FILES;
is not the same as:
for f in /usr/desktop/input/*
Obviously For should be for (lowercase) like alister notes, but also, the...

make sure that files exists using this

$ for f in $FILES; do echo $f; done

and where did you define variable a and b ?

To use shell variables inside awk program, use awk variable assignment feature:
awk -v A="$a" -v B="$b" '{$6=($1-64)/2 ;$7=((10^($6/10))/A)^(1/B) ; print}' OFS="\t"