All seems fine. Can't think of why conventional oil would be better on a reman so I'd stick with full synth.
I'd add brake flushes and power steering baster fills....
Oh and since not driven much, I'd recommend a quality fuel treatment, check out Startron:
Amazon.com: Star Tron Enzyme Fuel Treatment - Concentrated Gas Formula 16 oz - Treats 256 Gallons: Sports & Outdoors
Luck and enjoy....
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2001 Limited 4WD - 346+K - SunfireRed\Thunder Cloud; - 265/75/16 Michelin A/T2s - Fat Pat's 1.5" BL - StopTech ANGLED rotors - In series 699 trans cooler, New Yota1 transmission, All new OEM suspension front to rear.