Checking for Valid or broken links

I would use TestComplete in-built option called aqHttpRequest 

Sample code:

function checkLink(URL)
{
  var address = URL;

  var aqHttpRequest = aqHttp.CreateGetRequest(address);

  // Send the request, get an aqHttpResponse object
  var aqHttpResponse = aqHttpRequest.Send(); 
  
  // Read the response data
  Log.Message(aqHttpResponse.AllHeaders); // All headers
  Log.Message(aqHttpResponse.GetHeader("Content-Type")); // A specific header
  Log.Message(aqHttpResponse.StatusCode); // A status code 
  Log.Message(aqHttpResponse.StatusText); // A status text 
  Log.Message(aqHttpResponse.Text); // A response body     
}