I don't consider Zenith a very reliable brand for lappies. Thats a personal opinion. I personally will not take a Zenith.
Look for something from Dell or HP. Sony is nice, but 12.1" is more than double your budget.
When I took my lappy sometime back, I had a look at 12.1" models. I found the character sizes too small to read
So chose a little bigger one. Ensure that you have a demo of 12.1" before you buy.