Hi nerobert, and welcome to the forum.
I'm not understanding your problem with Skype

(I'm trying to get a handle on whether this is a user, hardware, or software problem .. as it works perfectly on both my AA1's)
Fire up Skype ..
login to Skype .. then a little Skype icon should appear down by your system clock, if you right-click that and select
Options .. then in the left hand column of the widow that appears select
Video DevicesIs
Enable Skype Video ticked ? .. and can you see your webcam image ?
Can you mention what model of Acer Aspire One you have .. Example = AOA110L