If you need bus schedules for you travel:
Punta Arenas
http://www.buschile.com/magallanes-y...-de-buses.html
Puerto Montt
http://www.buschile.com/los-lagos/pu...-de-buses.html
Valparaiso
http://www.buschile.com/valparaiso/v...-de-buses.html
and Santiago
http://www.buschile.com/metropolitan...-de-buses.html

In Santiago, I suggest you visiting the Santa Lucia hill.
The hill contains a number of old buildings, including a small chapel with wonderful views of the city. On the very top was the Castile del Mirador (viewpoint castle), a faux castle tower with the best views of Santiago at the top.
You should go at Museum of Fine Arts too.