if your company allows you to work remote for the few weeks you are there, that would be up to them and their IT on how that woks.
As far as paying for Canadian taxes you do not have to.
you are not going there to live, you are not abandoning your residency, you are going on holiday so nothing would change.
it is not likely they will ask you if you are going to work while you are there, your main objective is to go for a visit.