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Nice bike, OP. Schwinns tend to be sturdily built and are able to handle abuse. Before a long tour, especially if you are going to put racks on it, pannier bags and so forth, I'd have it checked out by a competent mechanic. Pay close attention to the wheels, so they are true and the spokes are tension-balanced. Older bikes have 36 spokes (modern bikes have 32 or less), so those ought to be strong wheels. The hubs, bottom bracket, headset and pedal bearings ought to be re-packed with new balls and grease if that hasn't been done for a while. Also check brake operation, pad wear, cable condition, because you and your camping stuff will make more of a load to stop. Look at brake and shift cables to see they aren't frayed, especially at the ends, which should have those little crimp-on end caps.
Make sure you can deal with flat tires and minor mechanical issues. If your mechanic is competent, after he is done with your bike you should have no problems until you wear out tires and brake pads.
My personal choice for a saddle is the Terry Men's Liberator (pic related) or something similar, which has a cut-out in the middle to keep your dick-nerve from being pinched. I always had a problem with this, having it go numb on long rides, wondering at the time if I was doing any damage, but the thing still works.