Events can appear at same time or not regardless of whether they occurred at the same time or not however there is never an observable ordering disagreement.
This is true only for things that are separated by time-like (and, being the edge case, light-like) intervals. For events that are separated by space-like intervals they might be simultaneous in my frame of reference but not in yours - i.e. simultaneity is relative.
It went with me thru my shortcut slower than light.
You mean didn't exceed the local speed of light, which is fine. But that doesn't change the fact that in some other reference frame you arrived 50 years before you left. And if there was a return wormhole at rest in that frame of reference you could come back to earth 50 years before you left.
And that's why scifi and popular science are so keen on warp drives and wormholes - they obey the well-demonstrated limits on high-speed travel while (purely in theory) allowing FTL and time travel.