I would recomend against statically assigning an IP address to your laptop unless you know what you're doing. If you do, then you'll need to change it back to DHCP anytime you want to get online at a hotel, airport, coffee shop, etc.

Also, if you do decide to assign a static IP, don't point your laptops DNS settings at your router. You need to point at your ISP's DNS servers, or find a public DNS server(s) that you can use.