DNS cannot resolve external company website

Last Week our local ISP/telephone/cable company started handling our DNS records. Everything seems to be working great except, when I try to go to our company website I get the following error:

"This site can’t be reached
www.mycompany.org’s server DNS address could not be found."

When I run nslookup I get this error:

"***myserver.mycompany.local can't find www.mycompany.org: Server failed".

This problem ONLY began when the ISP/Cable company started handling our DNS records!

Oddly enough if I try to go to our IPS/Cable company website I get the same exact error message in the browser and same error in nslookup. All other websites I go to resolve without any problems. We are running Windows SBS 2011 standard with all patches up to date and the static IP of our server is also the DNS being pushed to all our client PC's. There are no Forwarders in place in the DNS server. The error's described above happen on the server and every client PC in our offices regardless of whether they are connect via CAT5 or in-house wifi.

 I have attached screen shots of the different errors. This is worth 500 points as I have now been with this problem for 4 days and the ISP cannot seem to resolve it.
browser-error-screen-shot.png
nslookup-screen-shot.png
ipconfig-screen-shot.png
functioning-correct-screen-shot-goog.png