First thing to look at is your ground situation. The AD620 refers
the output to an applied ground (not necessarily the input
reference), this pin needs to be within a suitable common mode
range and the output measured relative to it, not the input
reference point. Check your input common mode position,
supplies and output ground for sanity vs the datasheet.
Then, I recommend you look at the inputs with a suitably
high impedance DMM and determine whether it's the
instrumentation amp or its input that accounts for the
"no load error".