I get the swallowing problem occasionally. Usually if I'm eating too fast. Scares the crap out of me. Someone told me once to bend my neck forward if I feel like I'm having a problem swallowing. Not sure why that helps, but it does.

The dizzy, off balance feeling. I have that all the time. You can take physical therapy for that. They make you do exercises that help you learn how to keep your balance. I did that earlier this year. Didnt always help for bad vertigo attacks, but I did notice a little difference in the drunk-like wall-walking that I was doing. It's been a little easier to keep my balance as long as I dont move too quickly.

So now I'm a slow eater, and I dont walk very fast. (forget about running. I wasnt running even before I found out about the MS)

I have swalling isues just as you explained, also I choke om food a lot. I also am now having motility problems so guess this all goes hand in hand. Make sure your doc knows.