You could also try setting the DNS addresses yourself just for testing. If you type ncpa.cpl in the Start Menu search box, and hit enter, it will open the Network Connections dialog. Select your adapter, and right click for properties.
Select the IPv4 and then properties. On the bottom of the dialog, click the Use the following DNS server addresses and enter the Google public DNS addresses of:
8.8.8.8
8.8.4.4
Change it back to automatically obtain after testing if it doesn't help.
If you wanted to try the same thing with the IPv6 protocol, you could use
2001:4860:4860::8888
2001:4860:4860::8844
but I don't suppose there is really a need for this.
It seems different routers, or DHCP servers, can handle the DNS addresses different ways. A prior router I had would use the local Gateway address, and my new one (Linksys E3000) uses the ISP DNS addresses, as you show, plus my local gateway. There may even be a setting to allow for flow through DNS addresses to be shown.
The Lease, as Pat mentions, can usually be set in the router, possibly on a Administration page. If you want to give us your model, we might be able to check.