That small and light, you might get away with a non-weight-distributing hitch. You will likely find it tows better with a WDH just due to the trailer sway control. And I suspect your actual towed weight will be above 3k with gear, supplies, food, propane, and such, so verify all that before you take off on a long trip. Your T should handle it great, though. Push the tow mode button and rock on.
Tow capacity depends on one thing in the first generation Titan - gearing. Check your rear diff tag (on the snout of the diff) or check your RPMs at 70mph. If you're at or just above 2k, you have the 3.6 gears. Around 1800rpm, you have the 2.94s. with the comes you have a 9300lb tow capacity, and with the latter, it is reduced to 7200lbs. Either way to, that little 3k trailer you night will sing along behind you like you're not even towing anything.