Even though Mac and PC is having a bad relationship they can talk to each other and share files and folders without any problem. MacRumorsGuide came in handy to make it happened.
ISSUE1: Mac did not detect the Windows computer
After making the folder in Windows machine shared go to Mac computer.
Go to Go (You have to open the Finder) and Connect to Server. Do not forget to type smb:/// Without smb:// mac will not identify your computers in the network. This is something most of the Windows users are not familiar with.
ISSUE2: Mac cannot Authenticate Windows 2003
Mac computer recodnice the Windows computer and requesting the user name and the password but dose not accept it even you try the Administrator account. Thats because Windows 2003 by default tries to encrypt everything that send to and send from it. So Mac does not undestand Windows 2003 language.
Two Solutions suggested by MacRumorsGuide
Case 1, your server is nothing more than a regular file server. In this case open up regedit (Start > Run > "regedit" {return}), and navigate to HKEY_LOCAL_MACHINE \ System \ CurrentControlSet \ Services \ LanManServer \ Parameter \ RequireSecuritySignature, and set it's value to "0".
Case 2, your server is also a Domain Controller. In which case you need to open the DC's Security Policy (Administrative Tools > Domain Controller Security Policy). Navigate to Local Policies > Security Options, and disable "Microsoft network server: Digitally sign communications (always)" & "Microsoft network server: Digitally sign communications (if client agrees)". Reboot your sever, and you should be good to go.