Hi,
You're quite right that having clean readable url's are usefull - both for visitors & bots.
There is no technical need to have these 'ugly' urls - as they can always be rewritten to something nicer. You will have to use a combination of URL rewriting & redirects) - you can find some useful links here on how to implement the rewriting (the article is not very recent - but these basics haven't changed). If they use a CMS it could also be useful to check the documentation - almost every decent CMS offers some build-in rewriting functionality.
The second issue with the strange domain name can be solved with a 301 redirect - by adding these lines in the .htaccess file of the "strange domain"
RewriteEngine On
RewriteCond %{HTTP_HOST} ^olddomain.com$ [OR]
RewriteCond %{HTTP_HOST} ^www.olddomain.com$
RewriteRule (.*)$ http://www.newdomain.com/$1 [R=301,L]
(no need to tell that you'll have to replace olddomain & newdomain by the actual domain names)
Apart from the wrong domain the issue with the tracking parameters in
could be solved by either a redirect or a canonical url. With the redirect rule above the webwite-px.rtk.com will be redirected to www.yourdomain.com - but this doesn't get rid of the tracking code.
You could put a self referencing canonical url in the head of the pages -
or strip of the parameters using a redirect (you can find an example on how this could be done here
If you use the canonical solution - it could be a good idea to strip off the parameters in Google Analytics
Hope this helps,
Dirk