Yes, you can have phantom pains. Also realize that although your entrance incision is down in your bellybutton area, you did have an organ cut off from the bile duct and sucked out of the general area of your chest cavity. In short, you have internal wounds which need time to heal.
Give your guts 6-8 weeks to figure out how to function now without your gall bladder. If you still have problems, like the diarrhea, there is medicine to help. But some people, after the inital adjustement phase, balance out to something approaching normal. Just keep your diet light and easy. Feed yourself as if you had the stomach flu. For the first three or four weeks after I got my GB out, I had to abstain from pork and beef; it was apparently too hard to digest. I can handle both now (although I mostly eat chicken, which is what I like best anyhow).