Your first and second logs are:
DHT: starting
DHT: attempting to listen for UDP on 0.0.0.0:
DHT: attempting to listen for UDP on :::
DHT: UDP port bound OK. Startup complete.
This seems like a success in terms of DHT.
In your first log Tixati was unable to find a UPnP router
UPNP router TCP port forwarding: scanning for routers to forward port 80...
UPNP router TCP port forwarding: no routers responded, will retry every 5 minutes
UPNP router UDP port forwarding: scanning for routers to forward port 80...
UPNP router UDP port forwarding: no routers responded, will retry every 5 minutes
and in the 2nd log it was able to.
UPNP router TCP port forwarding: scanning for routers to forward port 37373...
UPNP router TCP port forwarding: port forwarding succeeded on 192.168.0.1
UPNP router UDP port forwarding: scanning for routers to forward port 37373...
UPNP router UDP port forwarding: port forwarding succeeded on 192.168.0.1
I would still try to get the port forwarded through. If that doesn't work see if any other client works. It could be bigger problem higher up. This link might help
http://support.tixati.com/Optimizing_Tixati#Step_3. This thread might also be related
http://forum.tixati.com/support/509/.
My DHT logs:
DHT: starting
DHT: attempting to listen for UDP on 0.0.0.0:
DHT: UDP port bound OK. Startup complete.