[Q] Is my battery broken

Hello,
I have recently bought galaxy note, which was already 1.5 year old.
I've heard that the users had to change the battery after 1 year of using.

So here's my problem.
The phone needs 2h to charge the battery from about 5% to 100% and I can use it only for 3h when the screen is on whole time.
Watching a movie uses about 35%.
My dad has note 2. He can use it whole day long and his batt isn't empty by the evening. Ok it has 3100mah instead of 2500, but the difference shouldn't be so big?

Here are some screenshots:




You think my battery is dead?
Are there some special behaviours that indicate the battery is old already?
Cause I remember there were some on my old X10.

Also could You post some of Your battery stats if possible?