Both simple problems to address with this help (hopefully)
1) The stalk (multifunction switch) is an incredibly simple swap out. There are a few how-to's on the internet, but here's my instructions to the best of my knowledge. Remove the two screws on the kick panel underneath the steering wheel. Remove the two screws holding that metal panel on underneath the kick panel. Remove the two screws at the bottom of the cluster. Remove the long defrost bezel that runs along the top of the dash. It just pops out, use flat head screw driver. Unscrew the last three screws holding the gauge cluster in at the top. Pull out the gauge cluster carefully. Now, remove the three screws holding the bezel underneath the steering wheel. You'll see the holes if you look underneath. There should be four holes, only three have screws, remember which ones. Now remove the top portion of that bezel, I don't know if there are any screws, but you have to pull it out. It takes some shimmying and bending, but manipulate the steering wheel raiser lever to get that top bezel out. Then, you'll see the bolts holding that switch stalk in. I think it's three torq screws (just use an allen wrench). Replace and follow the steps in reverse.
This sounded more complicated then it is. When you look at it, you'll see the screws holding everything together and it takes literally 3 minutes to get apart once you know where the screws are.
2) Check in your fuse box. It's located behind the glove box, so you might need to remove the glove box. Either unscrew the strap or simply slide it out (technique varies between years) There is a fuse labeled "door sw defeat" or something along those lines (might be #4). Check the fuse diagram. You might need to toss a fuse in there to get the chime back. Personally, I wouldn't even bother with it, it just means that the previous owner took the doors off and had to pull that fuse to stop the chiming.
However, wait for someone else to chime in (puns included all around), and see. I might have it backwards, you might PULL the fuse to get the chime. I don't think so, that doesn't make any sense.