1. The need to update keyboard drivers. Logitech have updated drivers on their website for Logitech keyboards.
2. Attempting to by-pass activation by applying a 'Crack' will cause the keyboard shortcuts to stop working. Remove the crack and correct CTRL Key operation will be restored (But you will need to activate the application).
If you're concerned with the high cost of Photoshop you should be aware of a "lite" version called Photoshop Elements. For most "non-professionals" it has all tools you'll need at a very reasonable price.