Don't worry about the cough! Unless you experienced bleeding and substantial pain, it's probably 100% fine.

Almost everyone who's undergone a glottoplasty has coughed during voice rest, yours truly included.

The numbness and taste issues subsided for me in a few days, so don't worry. During the first week post-op, I became oversensitive to mint, so my spiro pills tasted like breath mints!
Remember to drink lots of water, and ask for popsicles if you're still in the hospital.
Last but not least, congratulations!!!