As long as it's still good, then you should be fine. EMT-I is the old nomenclature (California standardized in July of this year from EMT-I (Romen numeral 1), EMT-II (Romen numeral 2), EMT-Paramedic to EMT, AEMT, Paramedic). California requires NREMT for initial certification, but last time I checked didn't require it for recertification.