I suspect the only error here is yours.
First off, my recollection is that modelling generally predicts that in East Antarctica at least, that rising global average temperatures will lead to increased precipitation (in the form of snow) - to the point where IPCC predictions attribute a reduction in the rate of sea level rise of as much as 0.12mm/yr to it - which will logically lead a generally increasing extent anomaly, as your graph shows. So your graph, it seems argues in favour, rather than against Iceaura's suggestion.
One might also be tempted to assess the total ice extent anomaly, which is still, on the whole decreasing.
Nope
This graph is of sea ice and it freezes up each year and is not related to precipitation (and you are correct, precipitation in Antarctica is expected to have a slightly negative impact on sea level (as it always has had)).
Like the Arctic, the amount of sea ice around Antarctica is an indirect measure of a combination of ocean currents, wind patterns, amount of cloud cover and air temperature. It is not a good measure of climate change since as we see, even though we know that global temps are going up, so is Antarctic sea ice.
Arthur