Help needed with TI Nspire CX battery

TI Nspire CX hasn't been used for a long time. It seems that battery is dead. It can only be powered by charging cable. See the pictures. Now I need a replacement battery but don't know which one to buy:
https://www.amazon.com/gp/product/B002NE8YJA
https://www.amazon.com/Rechargeable-Battery-Nspire-CAS-Plus/dp/B00SLHILQE
https://www.amazon.com/Rechargeable-Battery-Nspire-CAS-MODEL/dp/B00SMRLU3O
I know the last two are genuine TI batteries but they have no "free return". The last one is a new model but seems way bigger than the second one. Also it has no wire. How am I use it? Besides above 3 products, do you have any other suggestion? Thanks a lot in advance!
Update: just find another problem. I can't get the old battery out. Could anyone help me take a look at the picture to see what is wrong? Thanks.
https://www.amazon.com/gp/product/B002NE8YJA
https://www.amazon.com/Rechargeable-Battery-Nspire-CAS-Plus/dp/B00SLHILQE
https://www.amazon.com/Rechargeable-Battery-Nspire-CAS-MODEL/dp/B00SMRLU3O
I know the last two are genuine TI batteries but they have no "free return". The last one is a new model but seems way bigger than the second one. Also it has no wire. How am I use it? Besides above 3 products, do you have any other suggestion? Thanks a lot in advance!
Update: just find another problem. I can't get the old battery out. Could anyone help me take a look at the picture to see what is wrong? Thanks.