Welcome to Bleepingcomputer.
First can you please post the make and model number of your laptop.
The problem you are faced with is there is moisture in the area of where the contacts are for your keyboard keys.
These circuits are sensitive and water is acting as a source for the current to flow through, even though the key is not being pressed by you, the moisture is still creating a circuit.
Thus why your IE is opening up, the internet shortcut key on the laptop is shorting out.
Being that these types of devices are some-what air tight, it would take some time for any moisture to completely evaporate out of the unit.
Water and electronics don't get along too well.
Water can also cause mildew and white power to develop, which can cause faulty contacts to be the result.
I seriously feel, it is best to bring this laptop in for servicing, because even if the moisture evaporates, there is still going to be problems with the keyboards contacts from the deposits left behind from the liquid.
Edited by MrBruce1959, 10 August 2010 - 12:37 PM.