These were recorded with the built-in microphone.
Anyone need more information?
That is where the hard-drive is located. If you look on the bottom of the laptop, you will see a panel that can be removed to give you access to the RAM and HD. (The hard-drive is in a physically sensible, but logically stupid location since non-SSD drives get constantly knocked from the hands and palms hitting the keyboard; so the HD in even a new system will register numerous errors-due-to-external-shocks in the SMART data.)
The clicks are coming from the hard-drive which of course is not good.
What you will want to do is to use a program like SpeedFan, Defraggler, etc. to view the SMART data of the drive. That way you can see just how bad it is and depending on the program, even estimate how long until it has a catastrophic error. Then, if the system is still under warranty (Acer laptops usually come with a one year warranty, and a hard-drive failure should be covered by it), you can get it replaced or repaired.
I'm afraid this ordeal will likely be quite inconvenient, especially since you will need to backup all of your data and wipe the drive before returning it; but at least you'll have a (presumably) healthy and reliable system again when it's all over.
If the laptop is out of warranty, you should still contact Acer first to see if they may be magnanimous enough to do a courtesy repair/replacement. Sometimes, companies (like EPoX and Western Digital in my experience) are gracious and you might get lucky. If you are not and they turn out to be jerks (like ATI and Intel in my experience), then you will want to buy a 2.5" laptop hard-drive and have it replaced (or replace it yourself).
Either way, the faster you take care of it, the better since you will be less likely to lose data.