My truck is almost identical. I pull a 28 foot travel trailer and am certain it will pull it fine anywhere in the country. My sticker payload recommendation (should not exceed) is 1459 pounds. The rear axle (do not exceed) is 3900 pounds and the front is 3700. Your trailer coupled with a properly set up weight distribution hitch and the passengers/provisions you mentioned will not exceed your required numbers. You will be fine, hook it up, pull it where ever you wish and enjoy it. GVWR is certainly a number we should try to remain within. It allows plenty of room for miscalculating weights and various road conditions, but it is a not a legal or structural absolute. The individual axle ratings are and must be respected.