The indicator and the transmission seem to be in sych. Both went into "N" and stayed there together, so the gear position switch in the transmission seems to be talking properly to the indicator lamp on the dash. Not surprising then, that the fuses are OK.
The shifter itself seems the odd man out, which makes me think it has come adrift from the shift cable or linkage that connects it to the transmission. I'm not sure how that freezes the lever in park, but if the linkage is disconnected, it could have become jammed. Hard to tell without feeling how it moved before and after it froze.