Yes,everything is in working order.Max memory this laptop takes is 1gb,its PC133.
Ebay prices for ram are usually $10-$15 for 128mb,$20-$25 for 256mb and $40 for a 512.
A battery will run around $40 shipped to your door (brand new) or $20-$30 used that holds a good charge.I just go on ebay and type in “C610 battery” and a ton of auctions come up.