You can accomplish both the Report of Marriage and the passport renewal at the same time. Just schedule yourself for one of their consular outreach events.
The Philippines Consulate in New York has several outreach events in your general area. Yes, you may have to make it a day trip with some driving, but you can get everything done quickly at the outreach event.
My wife, Chinook, and I went to our local consular outreach here in Seattle. In about one hour, Chinook reported our marriage, applied for Filipino citizenship, and applied for a new Filipino passport. It was really easy.
If you don’t go the consular outreach route, then I would recommend reporting your marriage first.
~ Tahoma