The following URL is just a redirect
http://www.hotmovies.com/drm/asx.php...js_starttime=1

in the folder with recording there must be a text file with the URL (At least there were .ini files in the previous versions. Just downloaded but haven't tested WM Recorder 11 yet ).
Does the .ini file have the same URL?

There seems to be no user identifying information in the URL. It must be residing in the cookies.

I can't record anything from the URL.

As for the start time, in ADA or PRO mode WM Recorder 11 can capture anything your Windows Media player or Real Player plays.
You may also find some useful information in the following FAQ:
Start and end times of a streaming media.

If the embedded player allows you to move to some point in the video, you may try to record in the Real time mode (ADA or PRO). Otherwise create an .asx file as mentioned in the FAQ.