The Avs are not the Senators, nor are they owned by Eugene Melnyk. If that's the comparable you want to use then this is pointless.
The goaltending issues have been already addressed to you. Sakic could have maybe done better getting a #3 goaltender, but there's also not a hell of a lot you can do when your #1 gets injured and your #2 starts the playoffs with an injury, gets further injured, and you have to turn to your #3. Defense, yeah, Sakic should have added a #4 sort of guy around the deadline.
As for Burakovsky, his post-season performance made him an obvious re-sign, no matter how it turns out in the end.