Export test MHT - with custom name

Define "success" or "failed".  Is it that there are no errors in your log?  Or that there are no warnings?  Or that all your tests completed, even if there were errors and warnings?  It depends upon what you mean by "success" or "failed".  All TestComplete does is report to the output what you deem necessary in the output.  It doesn't make any judgement calls on whether or not a test is "successful".  That is a subjective judgement call that the tester needs to make.  So, if you want that call to be made by the automation, you need to write some sort of code to make that determination.