When I press the power button on the computer, the computer does not turn on, but the control lights next to the power button turn on and blink for a minute and then the computer turns off
A blinking caps lock and scroll lock light indicates a motherboard problem (CPU?).
Try removing the ram and start the laptop. If there are no error beeps heard then the motherboard is faulty as ram is checked early on in POST (power on self test) so it hasn't even got that far when starting