FeatVPN - Setup Failed
Alright...line 5026, is the culprit:

E/FeatVPN ( 7206): [ 4] 2013-07-31 22:56:09 [   7206] [78752] [   Test] Invoking test to front listener
E/FeatVPN ( 7206): [ 5] 2013-07-31 22:56:09 [   7206] [78752] [   Test] Starting test [5]
E/FeatVPN ( 7206): [ 6] 2013-07-31 22:56:09 [   7206] [78752] [   Test] Invoking test start listener
E/FeatVPN ( 7206): [ 7] 2013-07-31 22:56:09 [   7206] [78752] [   Test] Waiting for L2TP tunnel completion (0 s)
E/FeatVPN ( 7206): 2013-07-31 22:56:10 [   7206] [57328] [  Proxy] Uncaught exception
E/FeatVPN ( 7206): java.lang.IllegalArgumentException: Bad address
E/FeatVPN ( 7206):      at android.net.VpnService$Builder.addDnsServer(VpnService.java:392)
E/FeatVPN ( 7206):      at android.net.VpnService$Builder.addDnsServer(VpnService.java:410)
E/FeatVPN ( 7206):      at com.featvpn.sdk.a.createTun2(Unknown Source)
E/FeatVPN ( 7206):      at com.featvpn.sdk.a.createTun(Unknown Source)
E/FeatVPN ( 7206):      at com.featvpn.sdk.Proxy.v(Unknown Source)
E/FeatVPN ( 7206):      at com.featvpn.sdk.Proxy.run(Unknown Source)
E/FeatVPN ( 7206):      at java.lang.Thread.run(Thread.java:856)


Reading this, it looks like the proxy address was set up incorrectly which explained why it crashed. You have it set correctly?

It might be best to log this with FeatVPN's developers as to why its happening when going through the setup procedure. Also noticed in the log, you are running Greenify, would that be clashing or conflicting with FeatVPN.