Battery life isn't too impressive, and even allowing for an i5 CPU I doubt you'll get more than 3-4 hours of standard use. Also, it relies on the BGN WiFi standard, which is a bit cheap, but it does have a USB Type-C port. I don't know which is going to be more important to you, but those are my main reservations about the ASUS. Other than that, it's a fine machine that is likely to meet your requirements.
Of course, if you can find the extra €80, the Lenovo will offer a faster WiFi standard and a marginally faster CPU. Weight and battery life are largely the same. The Lenovo does have one advantage over most other brands available today: If you ever run into problems with Windows 10 - to the point where you can't access the laptop - the Lenovo has a Novo button (or pinhole) that opens a basic menu where you can restore the laptop without using Windows.
Now, I have a doubt about intel because I will not use the laptop to play games, I think. So, if I buy it with intel i3 of 6th or 7th generation (with U), is it enough to use office and watching films and series? Can these i3 work satisfactorily?
I am comparing price and i3 is cheaper and, in this way, I could buy a laptop with SSD.