I gather, from the log you attached, that you're still having trouble deploying. Look for other files in the tomcat log directory (localhost*, stdout*, stderr*), which should contain further details, and post them here.
Regarding your other question:
We currently support tomcat (our commercial offering supports oracle application server as well) - other servlet containers would require some configuration changes, which we have not looked into as there is no apparent demand.
Regarding hosting, you could try out our quick hosting feature which automatically deploys your application on our servers (see http://www.tersus.com/#Id=1374 for more details), and in the meantime contact us for details on further hosting.
Alternatively, you could contact any of the multitude of web hosting and cloud computing providers out there, to set up your domain and server - you would need root/administrator access to the server in order to perfrom the deployment along the lines you are attempting at present.
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