your might have to pay for part of it,

depends on the police report and how insurance companies view it.

Couple things you did wrong and might cost you:

1. Should stop on right shoulder.
2. Not only turn on the emergency light but also open up your rear trunk, or left door, this way driver behind can see the stopped car way ahead.
3. Did not try to warn or signal other drivers the stopped car ahead.

Lucky no one got hurt this time, otherwise this case will get much worse and you will be on court.