There are signs of hope, but my bag of tricks is empty. I see some signs that the laptop and router are talking. I'm saying this because the laptop got a new IP address. It should have however, got the same address (the .2 one).
Two things you can do:
1) Take your laptop to another wireless network and see if it connects.
** If it does not, then you have a laptop wireless network problem and it may require replacing the internal wireless card. Alternatively, you can purchase a USB wireless adapter that plugs into the USB port and looks like USB flash drives.
** if it does connect to the other wireless network, then you have an issue with your router. Yes, I know that the other computer connects.
2) The other option is to do a hard reset on your wireless router which will remove all your settings including the security. I would do this and see if it connects. After verifying it connects, re-install the wireless security.
When setting up your router, please put a password on the wireless network. Also change the default password to get into the router. The default login is admin for the user and password for the password for most Netgear routers. Check your manual to make sure. Change that password from password to something else please. Write it down along with the wireless password.