Your transfer case requires ATF, any ATF is fine in the transfer case is fine. ATF+3 and ATF+4 are two good choices.
Your AX-5 requires either a GL-3 or GL-4 75W-90. Redline MT-90 available from www.summitracing.com
would be an excellent choice. Or you can use a synthetic 10W-30 motor oil (not 5W-30) which has been approved for use in the AX-5 and AX-15 by Aisin, the manufacturer of your AX-5. No worries on the seemingly vastly different viscosities of those two lubricants. 75W-90 gear lube and 10W-30 motor oil are measured on two different viscosity scales but in reality, they are both essentially the same viscosity.
A good synthetic 10W-30 would be a good locally available choice for your AX-5 if you don't want to wait for Redline MT-90.
Redline Max Gear 75W-90 is one of the few GL-5 gear lubes (most GL-5 gear lubes are NOT acceptable) that is also acceptable and a fine choice for your AX-5 which may be more readily available in your area than Redline MT-90