I don't know my pine trees-- someone else may. I knew how to ID all the evergreens when I lived in New Mexico. This one does appear to be a native pine, unlike our Australian Pines.
Older native pines tend to have strong lateral branches that often create a platform top rather than a central leader that ends in a peak, which is the case with the exotic Australian. Of course this means that relatively few Australian Pines have crotches that will support a heavy nest. (This is a concern with our local eagle nest-- if it comes down in a storm there may not be any suitable nest trees within their territory).
The eaglet is probably between 1 and 2 weeks old. This is based merely upon the observations recorded at the Pembroke Pines nest over the past 3 seasons. The little fuzzy head appeared within a space of 7 - 18 days after hatching (mean 12.5, average 14 days). Of course there are many variables, including how often and for how long the nests were observed, visibility of the nest and width and height of the nest rim, not to mention the behavior of the chick.