Because it works to DNC from your laptop then we can assume the machine is setup correctly. I'm not familiar with the Micro DNC but I have a couple Calmotion DNC units so I imagine the setup is similar. Is this the correct unit?
DNC Solution Co., Ltd - Transfer file to CNC machine - DNC Communication
Start by checking the laptop settings and the configure the Micro DNC similarly. On my machines of similar vintage I use:
Baudrate 4800
Data bits 7
Stop bits 2
Parity Even
Flow control Xon/Xoff
See page 13 of the user manual. Default from the factory is 19200 baud. This needs to match your machine. Everything else looks acceptable. Shake Hand: Software, I'd assume is XON/XOFF.
Are you using the same cable as you used with the laptop? If not, compare the pinouts and make sure your wired correctly.