That's normal. You should only be allowed to write to resources that you have full sharing permissions for.
It depends on the software being used, but it is most likely being loaded with windows. Every student will have a d:\students\name (use of d: would be unusual, as it might interfere with local CD drive access) directory after logon, as their private space. You most likely have read only permission in some other drives.
the d: designation does not tell where or on what server your space exists, it is just a share name, however if they were sloppy in setting it up you may be able to see it in properties
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