That depends on how you define "based on".
Microsoft hired one of the VMS main architects (David Neil Cutler) to redesign Windows and Windows NT was the result. NT was actually a pun: you add +1 to each letter of VMS and you get WNT.
Unlikely to have the whole BSD network stack but some parts of it was based on BSD licensed code. Nowadays, I guess only things like ftp, tracert and the likes might still have BSD code. See this page for details.

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"borrow" is lighter than "derived from" so DOS might indeed have borrowed some Unix concepts, although I would state it really borrowed most of its design from CP/M. XENIX, originally a Unix version 7 implementation, was already a multi-task, multi-user OS with a single hierarchical file system. DOS was definitely missing all of these features.
Got it. You confused LD_LIBRARY_PATH and JAVA_HOME.