After jump starting my car the speedometer and gear lights do not work?

We need to start with checking for codes. I suspect you have a code that will indicate that we have a switch issue in the transmission.

https://www.2carpros.com/articles/checking-a-service-engine-soon-or-check-engine-light-on-or-flashing

It could be related to the jump start but it may also be a coincidence. So the issue with the PRDL not having the square around it is due to the module not knowing what gear it is in so it doesn't display the selected gear.

The internal shift info as shown below in the mock scan tool shows that when you select a gear the A/B/C/P switch should change from Hi to Low when you select that gear and it will display the square.

I suspect your switch that is the issue will always stay on Hi when you select that gear which indicates the issue.

Let's start with the codes and we can go from there. Thanks