No, it's actually quite rare for a monitor's best setting to be sRGB. If Standard gave you the best result, that's where it stays.
Wait, you're scaring me. You had good bright light while comparing prints, yes?
If you'd bought a PC like sensible person, you'd have lots of money left in your pocket, AND you wouldn't have this problem.
Is there any place you can rent a calibrator, to test?
It would be ideal to find out the exact resolution of the projector.
If you can't do that, I think 1920 pixels is a fair guess. That's normal HD.
What are the pixel dimensions of the photos presently?