One more. After moving the site the PHP info has this info that was not before:
Directive Local Value Master Value
iconv.input_encoding ISO-8859-1 ISO-8859-1
iconv.internal_encoding ISO-8859-1 ISO-8859-1
Before moving this was not set and therefore EE is configuring this for incorrect charset.
The status is that we have eliminated server problems and are left with EE problems that we need to solve.