Even though it has only been used for a few weeks, corrupt files or a hard drive fault could be the problem.
I would create a set of restore disk if they have not been done. Restore the laptop back to factory default and then install all updates as this should eliminate any problems that could be software related. If you have a problem with the hard drive it may show when you try to reset it to factory default.
After restoring to factory default see how it works before installing anything like chrome. If it is working OK check it after you install each new program.