Does it show in any other gears? Does it show them in the correct positions? There are also two button sensors on the column that indicate when the shift lever is spring back and resting in park, and the other I think shows if its in neutral? I haven't looked at that part of the electronics in over a year now. If the sensor for the park position is bad it may not be getting the command that the lever is fully returned to the park position so it wont unlock the doors. Just another thing that may need to be checked after you check your trans out.
The connections for them two buttons come off the multi function switch harness. That is the turn signal/high beam/cruise stalk.
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Exploration Machine- 02' CC V8 swap. 300K+
Portable Roller Coaster- 07' MKV VW GTI
Its another Jeep- 98 TJ