Venu! at last I've found someone who does more method chaining than I do!
Seriously, you might want to break some of that code down into smaller sequences. It makes it more readable, and if you're using a debugger it's easier to follow the data. Nothing is more annoying than a NullPointerException that could have come from somewhere in a sequence of method calls, but you don't know which method call returned null.
There's a "Code" button on the JavaRanch message editor that can help make your code examples more readable. I've edited your message to include it.
The selectOne/SelectMany JSF controls cannot take a simple array or list of Strings. That's because there are 2 separate data elements that go into the generated HTML <SELECT> option elements - one for the display value and one for the returned data value. So you have to build up a collection of JSF SelectItem objects to serve as the display model for those controls.
An IDE is no substitute for an Intelligent Developer.