Well you have a 1 year warranty with it so if anything serious get them to take it back and fix it.
See if it starts ok in safe mode.Just keep tapping F8 as the computer starts.
Go into device manager and see if any yellow exclamation marks showing.
If W/7 you could try a system repair in safe mode or last good configuration as well.
Also command prompt and type in sfc /scannow and press enter on the keyboard and see if that finds any problems.
you could also try chkdsk but if you have a faulty hard drive it may crash so best waiting for other advice about that.