Hi, and thank you all for replying! From what I can see in the photo on the camera, you are all right. In auto mode, indeed, another pictogram is shown, obviously chosen automatically, that depicts the "scene mode" that has been chosen. And yes, when I chose the Av mode, the shutter speed automatically increases to at least 1/30, whilst at the auto it is usually below 1/15.
I agree with you, clackers, that that is the beauty of DSLR, but since I am not the only user of the camera, I need the auto mode sometimes, for those who don't like playing around with settings (to be honest, even I don't feel like doing so ALL the time
).
I am applying two shots I made last night just to demonstrate what has happened (I hope the metadata will be shown, otherwise let me know and I will post them again later). The first one was taken in auto mode and the second one in Av.
It is a relief, though, as according to your replies I am pretty sure that there's nothing wrong with the camera and that I've not messed something up.