I'm assuming you've got problems with this line:

%newHash .= \%valueHash;
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I'm very surprised that didn't throw a syntax error.

.= is the string concatenation operator. You can't just use it to combine hashes.

You'll want something like:

@newHash{keys %valueHash} = values %valueHash;
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Which inserts the key-value pairs in %valueHash into %newHash, overriding any pairs with the same names.

Side note: if you're having trouble with some almost totally unrelated problem, it's probably better to post a new, trimmed-down version of the new problem instead of updating an old one.