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Yes, this is more than likely a bad GFCI some are designed to not turn back on once they have gone bad. The rest of the receptacles will not work because they are on the load side of the GFCI. Make sure you replace the wires exactly the way they are on the old one. Label which wires are on the line side and which are on the load side. Make sure you turn the power off before working with the wires. If you miswire the GFI it will not work.
Thanks. What I suspected. Will the breaker shut off all the outlets on this circuit? Should the DMM show 0 volts when the breaker is off? Why is it showing 5v now?
Some meter show ghost voltage so if the meter is just bouncing numbers around, it's probably ghost voltage.
You can make sure it's the GFCI by taking the wires off of the GFCI (after labeling) put the blacks wih blacks with a wire nut, the whites to whites. Test your other outlets and everything should be ok