Those 3rd party extended warranties don't cover everything. You need to read the fine print.
It won't cover any airbag issues, or wear and tear items such as hoses.
Some of those issues you have are normal for a 100K car that's going to be 11 years old soon.
If the transmission can't shift into park, and the tranny light is on, and there are no coins in the shifter then maybe the transmission is going soon. Warranty should cover that.
Good luck but I know how these dealers are. They got years of experience trying to force people to buy a car RIGHT AWAY because they know people are emotional then. They do their best so you don't go home because chances are you will have some time to think and you will change your mind the next day.