Let's say that for today you are schedule for 4 legs.
After departing your home airport, for your first leg, during climb, you have to shut down an engine (twin engine) due to oil press drop, and so you have to return back to your home airport.
Now the question is: what's your company policy in this event?
1) Are you relieved from your duty and a stby crew called to complete the 4 legs?
2) If not, may you ask to be relieved?
3) If your company give you a choice, to be relieved or continue your legs with an other aircraft: what would you choose?
May be you, old-timers have to say something about this issue
BD