OPENSUSE and wireless connection. Connection exists, but doesn't supply access.

I am able to access the Internet with my corded connection (as you can see).
However, I am having trouble with my wireless. I get a connection that shows EXCELLENT, but still Firefox, Thunderbird, etc. don't have any connection.

Any ideas I would be thankful for. I need to free this computer from the cord.

-Richard
OpenSuse 12.3

Have you re-started your computer since setting up the wireless connection? I've sometimes found that when I've switched connections, it hasn't worked properly until I've restarted.

If yes, I'd suggest trying the following in a terminal window while connected to wireless, to see if it gives any clues:

$ /sbin/ifconfig # Does this show a configured interface named something like "wlanX"?
...
wlan0     Link encap:Ethernet  HWaddr 00:19:d2:ab:cd:ef 
          inet addr:192.168.1.85  Bcast:192.168.1.255  Mask:255.255.255.0
          inet6 addr: fe80::219:d2ff:feab:cdef/64 Scope:Link
          UP BROADCAST RUNNING MULTICAST  MTU:1500  Metric:1
          RX packets:162887 errors:0 dropped:0 overruns:0 frame:0
          TX packets:108354 errors:0 dropped:0 overruns:0 carrier:0
          collisions:0 txqueuelen:1000 
          RX bytes:195527132 (186.4 MiB)  TX bytes:14756548 (14.0 MiB)
...
$ netstat -rn # Do you have a route defined to "0.0.0.0" for this interface?
Kernel IP routing table
Destination     Gateway         Genmask         Flags   MSS Window  irtt Iface
0.0.0.0         192.168.1.254   0.0.0.0         UG        0 0          0 wlan0
...
$ nslookup www.linuxquestions.org                   # Can you resolve a domain name?
Server:		192.168.1.254
Address:	192.168.1.254#53

Non-authoritative answer:
Name:	www.linuxquestions.org
Address: 75.126.162.205

$ nslookup www.linuxquestions.org 8.8.8.8 # If not, does it work using Google DNS server?
Server:		8.8.8.8
Address:	8.8.8.8#53

Non-authoritative answer:
Name:	www.linuxquestions.org
Address: 75.126.162.205

$ ping www.linuxquestions.org # Can you ping by domain name?
PING www.linuxquestions.org (75.126.162.205) 56(84) bytes of data.
64 bytes from www.linuxquestions.org (75.126.162.205): icmp_req=1 ttl=47 time=136 ms
64 bytes from www.linuxquestions.org (75.126.162.205): icmp_req=2 ttl=47 time=135 ms
...
$ ping 8.8.8.8             # Or by IP address?
PING 8.8.8.8 (8.8.8.8) 56(84) bytes of data.
64 bytes from 8.8.8.8: icmp_req=1 ttl=48 time=40.1 ms
64 bytes from 8.8.8.8: icmp_req=2 ttl=48 time=35.3 ms