I will try:
I suggest you use the L-version.
Download and unpack.
Upload the files to a subfolder on your server.
Start the calendar.
This is explained in the guide that is in the package. It is as easy as it is written.
For the steps until now, WordPress has nothing to do with the calendar. The calendar is a stand-alone system that requires no additional software.
It can however, be integrated in the WordPress. I suggest you use an iframe for that.
You could also on the page where you have the calendar, make a link. Text for the link could be "open the calendar in a new tab". And then open the calendar in a new tab. This will be useful for users that browse your site with a mobile device.
Especially for mobiles and iframes it is relevant that you consider to use one of the displays. The displays is optimized for iframes and mobile devices.
In case you ae running into troubles with the calendar, you can make new post in the forum, or contact Roel via the contact form or contact me on bramminginfo.dk
I can give some examples and some hints about the displays but it has become troublesome to show examples on this forum as links is not allowed anymore.
Hope you have it to function. The LuxCal is the best web-calendar you can find.