In current mainstream thought gender =/= sex.

So your second point should be phrased “Is changing sex also (soon to be) possible”, as sex is genetic and gender is a concept.

Maybe with some radical gene therapy sex could be changed, but I imagine that to be a rather long and unpleasant process if physical changes happened. It would probably be more feasible to make a clone with the different sex and then transplant consciousness. That just raises further questions like if you died and is that still you. Probably before that is viable we will be uploaded to computer systems to escape the environmental effects of our actions and your avatar will be up to your whims.