From years of experience, I would recommend Redline Synthetic Oil. Every engine I have put it in has gotten quieter and smoother. Noisy 3rd gear grinds while cold and a noisy valvetrain were issues with my 06 Acura TL but since I put Redline in both engine and transmission, these problems have basically disappeared. I've used Mobil 1 and Castrol before but I am much happier with Redline, it makes a noticeable difference from the others.
For the filters I would also recommend the K&N drop-ins. Just make sure you clean them every other oil change.
For the engine oil I would recommend Redline 5W-30 and a OEM Nissan Oil Filter. This to me would be very important since Redline is one of the most high performance motor oils in the world which means it survives well in hot and cold. I've done a freezer test, put Mobil 1 fully synthetic in your freezer and put Redline. Mobil 1 becomes like honey, Redline stays very close to what it is at room temperature. Imagine when you are in freezing climates and you start your engine with thick honey, you are not going to have any lubrication until a couple minutes pass so the oil can warm up. Redline is a group 5 synthetic oil, and not a blend either (group 5 is the highest group of all synthetic oils, for comparison, US market Mobil 1 is group 3, Royal Purple is group 4 but has paraffin additives which is what makes oil solid in extreme cold).
Red Line Synthetic Oil - Motor Oil - 5W30 Motor Oil
For the transmission I would recommend Redline MT-85 75W85 GL-4 Gear Oil (recommended for 370Z)
Red Line Synthetic Oil - Gear Oil for Manual Transmissions - MT-85 75W85 GL-4 Gear Oil
I would change the diff fluid as well, since you are changing the transmission fluid.