Thanks for your feedback! I agree this would be a good idea, but this is not possible at the moment because the engine I'm using (RPG in a Box) is still in alpha and doesn't have a save feature yet. However, as a kind of workaround, there's a special (not very well) hidden room that allows you to jump between "weeks", so you don't have to start from the begining every time.
About enabling the "mouse-look" all the time, this would also be a new feature of the engine. Currently, I don't have a lot of control on the player view. There's some kind of undocumented trick you can use though: holding W or the Up arrow and the right mouse button will allow you to kind of turn with the mouse. This is in fact an accidental feature, but the engine's developer and I found it rather cool :)