Let me try to add something quickly, as well.
You have to be very careful in trying to turn everything into a purely rule-based environment. The English language is a messy thing at times, and words can be used in many different ways, often to different effects. A word like "only," for example, can't be used as a pure indicator, mainly because the words around it have a major impact on how "only" works (or seems to work to the typical reader) and even what it is modifying (this is largely true for any word, of course).
For example, many people see the word "only" and immediately look to the physically closest condition as the necessary condition. As Adam and Steve ably pointed out, you have to be very careful with that because sometimes it works that way, other times it doesn't. It doesn't
seem to work when "only" modifies a term that refers to a condition presented earlier or later in the argument. For example:
The only way home is to take the train.
Note that "only" is closest to "home," and so a lot of people diagram this sentence as:
Train
Home
But, "only" actually modifies "way," and "way" refers to "train." Thus, the diagram for this sentence is:
Home
Train
In Steve's excellent example, "only" modified "people," which referred to "the ones with tickets."
"Only" isn't the only word that works this way (pun intended!), other words work like this too (for example, consider how "if" typically introduces a sufficient condition, that is until "only" precedes it and it then introduces a necessary condition).
The point is that knowing the basic rules of how these terms works is helpful up to a point, but you have to remember that your interpretive abilities are being tested here.
In addition to what Steve noted, I'd also like to know when your LSAT test date is.
Thanks!