Breaks is used to imply luck that favors you or a chance event. E.g.:
I got my break in the movies when I met Stanly Kuberick at a book store.
I sliced that ball, but it hit a tree and bounced back onto the fairway, what a lucky break.
If your landlord breaks into your apartment or enters it without notifying you, this is grounds to break a lease. You can't break a lease just because there was a break in, however. Landlords are not...