Welcome to the Forum! It is amazing how these things work out. At eight weeks post I was still struggling with a number of things, but I did it make it back to work at three months post. However, it was still well over a year before I felt really good.
I sympathize with your cough. At 21 months I still have one. In my case it is a result of also having lost the autonomic swallowing processes that allow the normal mucous secretions to work their way down to protect the throat. It has improved a lot, but I still have it.
My vocal cord paralysis was post-surgery as a result of the nerve trauma from the surgery and being intubated for six days post-surgery (plus my surgery was very long - 32 hours). For most things my voice is almost normal now, although I cannot sing or shout. Just in the last six weeks there has been noticeable improvement.
The docs left behind about 10% of my tumor. Now that is growing again and the surgeons do not want to back in, we have a plan for radiation. Have your docs discussed radiation as a possibility for the remainder of your tumor?
While I am sorry you had to find us, I am glad you did. You are in a good place here.
Tod