Jacked up in Reverse

[LegoJ]

2020 Corolla will go into reverse but the gauge cluster won’t recognize the gear (but does all other gears), the parking brake won’t disengage automatically, the backup camera fails to come on, and I have no reverse lights.  The car is completely stock.  Also occasionally notice the car struggles getting going from a dead stop.  This typically happens when the car is cold.  The reverse issues are consistent.

[bigblock]

No reverse lights, no rear camera and no 'R' sign in the gauge cluster points to a faulty relay or fuse or wire out somewhere. It's a trip to the dealer for diagnostics I would suggest. Get them to check your other issues  as well. Warranty should cover most of this.

[FROSTYBALLS]

39 minutes ago, bigblock said:

Warranty should cover most of this.

OP appears to be in the US, which may have different warranties to UK/Europe.

[flash22]

it needs further diagnostics USDM corollas are very different to the UK/EU cars

it's not as simple as a fuse or relay it is a modern car

start with getting the Battery checked, if in doubt disconnect the Battery for 15-20 mins and let things reset, something is not talking to the cluster/bcm/ecu (pcm)