As mentioned above many 37 year old jeeps are no longer stock, even those that may appear so.
The only way to be 100% sure about your axle ratios is to pull the covers and count the splines on the ring gear and divide them by the number of splines on the pinion. Doing so will also enable you to change the diff. oil as part of your maintenance cycle and, again as mentioned above, inspect the fluid.
The
Dana 20 Transfer Case is one of the best ever made and is pretty indestructible. Drain the fluid and look at it. Be warned: it and the used axle gear oil will stink. Replace the fluid.
You can easily test low range by engaging it. The change in the gear ratio will be very obvious. If you can't put the jeep on a lift to test the
Transfer Case you can do it by having a driver and someone to observe the front axles & driveshaft. With the front hubs unlocked and the
Transfer Case in 2HI the front driveshaft should not move when the vehicle does. With the
Transfer Case in 4hi or 4lo but the hubs unlocked the front driveshaft should turn but the front tires will not have power. With the
Transfer Case in 4hi or 4lo and the hubs locked the front drive shaft will turn and the front wheels will have power. This is
much easier with the vehicle on a lift or at least with both all four tires securely off of the ground with at least 4 jack stands. To check that the front tires are actually getting powered with them on the ground you will have to be on a surface slick enough to allow the tires to spin.
Remember that most axles have "open" differentials and that even when powered only one wheel on either axle set will turn under power. The only time that both wheels will turn under power is if the vehicle has some sort of locking differential (locker) or a
Limited slip differential (commonly referred to as an LSD or a "posi," which is the GM term for their LSD that is applied to other versions, too. Jeep called it Trac-lok.)
http://www.jeep-cj.com/forums/f2/amc-20-dana-35-a-15854/
Go to post #2 on the above link and compare the shape of your diff cover to the chart to identify what you have. The OEM axles should be a
Dana 30 front and
Dana 44 rear. Your front should have a "30" and the rear a "44" cast in the webbing by the diff cover. Sometimes age renders these next to unreadable, though.