Car won't start or park after towing

So today I got a tow for about 35 min home. Started with tow truck driver
putting it in neutral so he could load it on his flatbed; he left it in neutral which
apparently this does not matter. After when I get dropped off, car does not
start and when pressing the start button with the brakes pressed, usually
starts the car. This time when I tried with the tow truck driver present, only
the electronics tuned on as if i wasn't pressing the brakes. Instead of the
usual P being displayed, 3 is always displayed when trying to start the
engine (note in order to get to 3, you have to move from P to D then shift
over to sport mode and from there go up + to actually even show a #. Car at
the same time is obviously not in park/can be pushed, also there seems to
be little to no resistance when switching between N and D which there
usually is. Another flatbed came and we tried to reset computer/disconnect
battery and he played around for a bit. I think tow truck driver might have
hooked up in the wrong place, no way could he screw up my
transmission/link right? Is this a shifter issue?