I do not have Java installed. Is this the reason I am not able to do so?

Depends on browser...

Use Google-Chrome java-built in no need.

Don't recommend installing java on comp unless you actually need it.

Are you downloading the PGN and then pasting the notation?  That should work.

I'll try that, Zirtoc.

[Event "Let's Play!"]
[Site "Chess.com"]
[Date "2012.03.24"]
[White "Anonymous"]
[Black "BraindeadBrainiac"]
[Result "0-1"]
[WhiteElo "1241"]
[BlackElo "1359"]
[TimeControl "1 in 3 days"]
[Termination "BraindeadBrainiac won by checkmate"]

1. e4 e5 2. Qf3 Nf6 3. Nh3 d6 4. Bc4 Bg4 5. Qb3 Be6 6. Bxe6 fxe6 7. Qxe6+ Qe7
8. Qb3 b6 9. Nc3 Nbd7 10. Nb5 Nc5 11. Qc4 Qd7 12. d4 c6 13. Nc3 d5 14. dxc5
dxc4 15. O-O Be7 16. f4 Bxc5+ 17. Kh1 O-O 18. fxe5 Ng4 19. Rd1 Nf2+ $4 { This
move accomplished nothing except getting your piece taken, Brainiac!} 20. Nxf2
Qf5 21. Nh3 Qf1+ 22. Ng1 Bxg1 23. Bg5 Qf7 24. Rxg1 Qc7 25. Ne2 Qxe5 26. Bf4
Qxe4 27. Rae1 Rxf4 28. Nxf4 Qxf4 29. Rgf1 Qd2 30. Rc1 Rf8 31. Rfd1 Qf2 32. Rf1
$4 {This move cost anonymous checkmate!} 32... Qxf1+ 33. Rxf1 Rxf1# 0-1

Nope, and when I try to "insert game or sequence of moves", I get a gray screen that says "chess wizard" but "error on page" with a bright red cancel button.

BB,

• copy your notation post#4
• choose insertgame
• choose use pgn & tick box
• paste notation from post#4 into small box there.
• edit & click submit ?

delete cache/comp first (stale-pages from previous attempts)

Apparently the place where he is supposed to paste the PGN isn't working.  Yeah, must be a browser/java issue.

http://blog.chess.com/NimzoRoy/diagnosing-and-fixing-internet-problems