I'm having the same problem here. Its getting to the point where I can't play either. I've run a tracert myself, and some of level3 (New York, surprisingly) has some issues, 2/3 pings failed and it has some values above 100 ms right after (Montreal Level3). I don't know enough to say if this is the problem.

Code:
  3    11 ms    33 ms    12 ms  agg59.pldlcabl02h.socal.rr.com [24.30.170.37]
  4    24 ms    16 ms    14 ms  agg33.tustcaft01r.socal.rr.com [72.129.27.66]
  5    17 ms    15 ms    16 ms  bu-ether26.tustca4200w-bcr00.tbone.rr.com [66.109.3.232]
  6     *        *       21 ms  lag-24.ear2.NewYork1.Level3.net [4.68.111.101]
  7   102 ms    97 ms   108 ms  ae-2-12.bear1.Montreal2.Level3.net [4.69.203.129]
  8    99 ms    98 ms   101 ms  ORMUCO-COMM.car2.Montreal2.Level3.net [4.59.178.74]
  9     *        *        *     Request timed out.
 10    98 ms    97 ms   101 ms  192.34.76.2
 11   103 ms    93 ms    98 ms  199.91.189.234
 12    98 ms   101 ms    99 ms  199.91.189.93
I had another person do a tracert that lives in a different location, and they gave me permission to post their results.

Code:
  3    29 ms    12 ms    27 ms  xe-0-1-2-sur02.hanford.ca.ccal.comcast.net [68.85.105.137]
  4    30 ms    26 ms    33 ms  ae-26-ar01.fresno.ca.ccal.comcast.net [162.151.40.141]
  5    23 ms    44 ms    26 ms  4.68.71.25
  6     *       96 ms   104 ms  ae-2-12.bear1.Montreal2.Level3.net [4.69.203.129]
  7   113 ms    96 ms   101 ms  ORMUCO-COMM.car2.Montreal2.Level3.net [4.59.178.74]
  8   103 ms   115 ms   107 ms  10.2.0.1
  9   109 ms   121 ms   114 ms  192.34.76.2
 10   108 ms   104 ms   111 ms  199.91.189.234
 11   104 ms   110 ms   108 ms  199.91.189.93

But I get kicked, and can't log back in because the game still thinks I'm logged in! 3102 error! I have to wait a few minutes to log back in, and it's so freaking frustrating.

I can't play the game like this, because I can't go in dungeons, do pvp, craft without fear, gold saucer, ANYTHING.