The CPU is good, and it will be more than what you will need for studies and regular office-like work. For battery, check the manufacturer's website or see some unboxing video on youtube.
There are quite a few. I just did a search on Amazon, and I found some. See the search thread:
https://www.amazon.com/s/ref=nb_sb_noss?url=search-alias%3Daps&field-keywords=Thinkpad
What do you think of a ThinkPad? I am using ThinkPad series of laptops since late '90s. They are good. Just add a m-sata SSD, which I did recently, and it works like a charm.