Plugging the same device on a jack of smaller tension will draw more or less current?
if the internal resistance doesn't change, plugging the same device on a 110V jack now will only produce 165W and will only draw 1,5A right(4)? 


Correct. But there are very few loads that really act like pure unchanging resistors. Even an incandescent bulb's resistance changes value as the filament heats up.


  Maybe the bulbs were different and designed to operate on the voltage he plugged? So in that case, a 60W/110V bulb have a smaller internal resistance, so it need to draw way more current to produce 60W, is that it?


Correct.

You could also see this when using a device powered by a switching power supply. The supply will adjust its current draw to supply the same power to its load. So on 110 V mains it will need to draw about twice as much current as on 220 V mains.