I have a Jeep Liberty that is a 4 X 4, which I love to use here in the Ohio Snow Days. I have some quick simple questions though about using 4 wheel drive.
The answers to your questions depend in large measure on what type of 4wd your Liberty has. They have offered multiple systems in different years. The most common are selec-trac and command-trac. Selec-trac will have the following settings: 2wd / 4Hi Full time / 4 Hi Lock / 4 Lo Lock. Command Trac will have 2Hi / 4 Hi / 4 Lo. They also have selec-trac II on newer Liberties, but I'm not as familiar with that.
1) Is it ok to go several miles in 4 wheel drive high?
If it is a low traction surface (snowy, icey, etc.), then you can drive in 4Hi as far and as long as you want. If it is not a slick surface, driving any real distance in 4wd creates driveline bind (bad) which can damage your drivetrain, especially if you are turning. The exception to this rule would be if you have Selec-trac, in which case you can run in 4Hi full time, which has an open center differential. You can then leave it in 4Hi Full time (but not 4Hi Lock) all of the time (if you wanted), without any adverse effects other than slightly worse gas mileage, and perhaps a bit more wear on the front drive components. Summary: Snowy road; 4Hi ok with all. Dry road: 4Hi Full time, or 2wd only.
I'm guessing it goes without saying that you only use 4Lo when you could use 4Hi (slippery surface). 4Lo provides additional gearing reduction, which is useful if you need to travel at a slower speed with additional control, pull a heavy load, or otherwise sacrifice speed for power.
If yours is one of the newer liberties with the 4wdAuto feature, my understanding is that you can leave it in 4wd Auto at any time, much like 4Hi Full time, as described above.
2) Is it ok to drive in reverse while in 4 wheel drive?
Any time you can drive forward in 4wd, you can drive backwards in 4wd. Other than a minor difference in gear strength when turning backwards, there are no new or additional risks. So follow the same rules as above. (Supertechnical disclaimer: I suppose if backing up a hill, or if hitting the gas hard while backing up, you are putting more strain on the front drive components due to weight transfer. So don't punch it while backing up in 4wd.)
3) Is there any special fluids or anything I need to check on jeep?
In addition to the normal fluids to check (radiator, engine oil, ****** oil, rear differential, brakes, etc.), a 4wd vehicle also has a transfer case with oil in it (ATF, if I recall correctly for liberties), and a front differential with oil in it. They have a specified service interval. Unless it is leaking, you can check it / change it at the service interval.