For an FAA commercial license, can I use EASA/ICAO 2nd class medical? I have an FAA 3rd class and EASA 2nd class medical. On my EASA 2nd class medical it says "This medical certificate complies with ICAO standards".

To obtain an FAA commercial pilot license, will I need to re-take the 2nd class medical by FAA standards with a different AME or does the FAA accept an "ICAO compliant" medical?
You can "obtain" an FAA Commercial Pilot Certificate with a Third Class Medical Certificate; the Second Class Medical Certificate is only required to be able to "exercise the privileges" of a Commercial Pilot.