This forum is for support of the Ghost Solution Suite product which is a corporate and not a retail product, and we don't generally have the exposure to how each manufacturer uses Symantec products in their PCs to be able to provide more than basic guidance to end users.
The error you are getting is typical of hard disk corruption or possibly hard disk failure. The message reporting read sector failures is indicative of some sort of problem with your hard disk, and my guess is that the area of the disk with the problem is where the system recovery image is held. This is always a risk with a single hard disk system - if the hard disk fails, you lose not only your operating system and data, but you also lose any system recovery information.
The course of action I would recommend depends on whether you have made regular backups of your data. If you have not, you would be advised to try and recover any data on the hard disk by booting your machine to an external operating system such as WinPE using a USB stick. If all this is over your head, then you need to find a PC technician who can do this for you. Once you have your data secured (assuming the hard disk is at least partly readable), you can then take the machine back to your supplier for repair, if it is still in warranty, or at least get a quote for replacing the hard disk if it is confirmed as faulty.
Normally, battery powered machines are pretty good at monitoring the remaining power in the batteries and shutting the machine down when power drops to a critical level. However, in the event of a sudden power failure, it is possible that a disk write that was in progress has ended up writing to the wrong place on your hard disk, trashing some existing data which is now preventing startup or recovery.
One other thing to try, if you are able to get into the machine BIOS, is to look for an option to reset it to factory defaults, and see if that helps. Again, it is possible that loss of battery power has caused some bios changes if the internal CMOS battery is also running low, and this could possibly affect the ability of the system to boot correctly.
Finally, there is also a possibility of virus infection leading to hard disk corruption. I don't know how easy it is to extract the hard disk from this machine, but my instinct would be to remove it and hook it up to another system and run diagnostics, virus checks and data recovery that way.
One of my netbooks (which I don't use often) was fine until 3 days ago when I got the message that it couldn't boot and to ctl+alt+del. Tried the recovery disk and got "application error 2904, read sector failure, result=1, drive=0, sectors 15695505 to 15695506. If problem persists, contact Symantec support." Then I this post. Tried to copy restore disk to 16 GB card I placed into netbook, but still comes up with same error. I brought it to Best Buy and they said it would cost $85 just to ship it to the repair warehouse and ? knows how much to replace the solid state hard drive (it's just a little chip). Sorry I have no fix, but you are not alone.
Although your posting also suggests a failure of your internal hard disk, and your machine would appear to be out of warranty, why not tell us where you are located in case there is a local dealer or repair technician that could look at your machine without you incurring $85 in shipping charges. I don't know the internal configuration of the netbook you have (is it also an Asus?) but it may be worth checking the manual to see if the memory chips are removeable and upgradeable, as in that case it may be a trivial exercise to replace the chip. The manufacturer's support forums may also be helpful in this respect. If it turns out that the chips are soldered to the machine's motherboard, then just scrap the netbook as the technician labour cost in dismantling the machine and then using special equipment to replace a surface mount device is going to be more than the netbook is worth, regardless of the parts cost.