Denise, the balance will improve. I'm a couple of months ahead of you. I agree with Boppie...the faster you go, the better your balance willl likely be. That's why when I run, I have no problem keeping a straight line, but when I slow down to a slow walk, I get a little wobbly sometimes(but this has improved).
I also had/have the same issue with the dry eye(especially outdoors), but this is also improving for me. I used Refresh Liguigel and Celluvisc(which are thick drops). Someone posted on the eye forum that the non-preservative drops(like Celluvisc) would do less harm to your eyes long term, so that is what I switched to. I'm using about half the drops now that I had to just about a month ago, so I guess my eye is improving. My left eye sounds about the same as yours...my eyelid closes, just not near as tightly as the right eye. I can tell this is getting better, but it's a slow go.
Anyway, at 5 weeks, it sounds like you're doing pretty well. Stay positive.
Patrick