2007 Accord can't turn off car and remove keys frequently

[baskervi]

My daughter has a 2007 Accord that has a few issues:

1) The steering wheel turns and the tranny can be shifted with no key

2) After driving for a few minutes, the shifter goes into park, but the key can't be turned all the way to extract it. Generally, it turns enough to kill the engine, but this is problematic at times. After pushing the shifter into park a few times, a little more forceful each time, then the key can be removed.

Fuse 21 is OK and the brake shift is working normally. I've read some about the solenoid potentially being a problem, but I've not taken the console apart to check this. 

It's been getting progressively worse, but I'm hoping someone else has an idea. Thank you.