There is no application called "Adobe LiveCycle" - the LiveCycle name is mainly used for server software. There is one exception, "LiveCycle Designer", which is a desktop application to create XFA forms.
The only product that can add these "Form Rights" to your form is "LiveCycle Reader Extensions" (see here for more information: Modules | Adobe LiveCycle Enterprise Suite 4
This is _NOT_ the LiveCycle Designer application that used to be part of Adobe Acrobat Pro.
So, can I add these rights using just the LiveCycle Reader Extensions (Can I download just this?) or do I need to use and serve the form out via Adobe LiveCycle Enterprise Suite 4 ?
Sorry if I'm being dense...
LiveCycle Reader Extensions is part of the LiveCycle suite; you'd need to contact Adobe enterprise sales. You install it to a server, and need to use a suitable API. Price is by negotiation, but expect at least 5 figures. Allow PLENTY of time for the licensing process.
You can use the Datalogics PDF Java Toolkit to Reader Enable your files. The Java Toolkit is the black box under LiveCycle and was originally developed by Adobe and can be licensed through Datalogics. See the URL below to get an evaluation.