Your understanding is generally correct, redkiddy.
But more often than not there are exceptions in general rules.
Let me add some more to pieannes's list.
1. names of planets: Earth's, Saturn's, Pluto's, .....
2. time-related words: today's, yesterday's, tomorrow's, a day's work, two weeks' vacation....
I think there will be more than this.
I have,however, seen many cases where even the general rules are crumbling. Examples are: my watch's hourly chime; the road's edge; the river's level; .... But I'd like to recommend that in exam situations you play safe by following the general rules.