Thank you for the quick reply.
1) That is correct; the inverter must not feed back into the grid. This would be a legal requirement. The idea is to off-set a hungry continuous load such as a heavy freezer with PV panels that even at their best, would only supply 50% of the required load. Real-estate for the panels and the cost for permits, disconnects, subpanels, inspection, etc. is the underlying issue here.
2) Yes, the DC input would need to be the priority channel such that the inverter utilizes the solar energy first and then supplements the additional power needed from the grid.
3) Correct again. In the unlikely event two of the three compressors fail and the PV is producing more power than the load requires the inverter would need to restrict the load and prevent flow back.
I am currently a journeyman with my expertise being diesel and GTC generators. Solar technology is still very new to me. I greatly appreciate any additional help.