Check to be sure that you are not MAC filtering on the access point, or if you are using it, the MAC of the new adaptor is in the aloowed list.
Reset the TCP and Winsock stacks by entering the following commands in a command line:
netsh int ip reset reset.log
netsh winsock reset
Check your DHCP server logs. See if it is seeing the requests from the client and if it my be refusing them for any reason.
Try setting a static IP and see if you have connectivity, that would narrow it down to a DHCP issue of some sort.