I think if your body is not used to getting up at 5:30am and eating, its gonna feel weird. My only morning run is usually a parkrun, and I don’t eat before that. My other runs (12 - 16 km) I usually wait until I’ve had a large meal + 90 minutes then go.

I usually run in the evenings, I struggle with events because they usually are run early in the morning (so I have the same issue, having to get up early just to eat).

For getting past 10km, just make sure you are putting a long run into your weekly runs, and keep increasing your total mileage week on week. Yeah, it will be a struggle until your body can catch up to it.