Limited Connectivity issues are most often caused by the router not responding to your computers request to obtain an IP address.
Here is what I suggest you try:
1. Right Click your WiFi tray icon and select 'Open Network and Sharing'.
2. On the left choose 'Change Adapter Settings'
3. Right click the "Wireless Network Connection' icon and choose 'Properties'
4. Within the dialog that comes up, double click 'Internet Protocol Version 4 (TCP /IPv4).
5. Then select 'Use the following IP Address'
6. Set the 'IP Address' to "126.96.36.199" and 'Subnet mask' to "255.0.0.0" and leave the 'Default Gateway' blank.
7. Click OK, and OK again on the 'Wireless Network Connection Properties' window.
Your internet will drop and attempt to reconnect. After it reconnects repeat step 1 - 5, and instead of Step 6, choose Obtain an IP automatically -- then skip to Step 7.
If you are sure your internet is working, and you are still getting limited or no connectivity after trying these steps then...
Repeat Steps 1 - 2.
Right click 'Wireless Network Connection' and choose Disable.
After the network shows gray (disabled), right click and choose Enable.
If this solved your problem please choose as best answer; which may not be available until several hours after your question has been posted. Thank you :)