97 Integra key stuck then starting failure

Today I had such weird problem twice, I am wondering if anyone here
can help before going to dealor.

First time it happened after I stopped in a shopping plaza. I turned
off the engine and tried to take the key out, but the key couldn't be
removed. Then, I tried to turn on the engine again, the A/C runs,
stero system works, but the engine just couldn't start. I tried to
change shift from PARK to R or D positions, after several tries, the
engine started and it ran as normal.

It happened again when I stopped at the library. This time I couldn't
take the key out or get the engine started. I left it for about 10
mins while calling my friend for help. Before my friend came, I tried
once again and it started!

Then I drove home and this time I didn't have problem removing the
key.

Is this a battery problem? I had jumped my car twice half a year ago.

Thanks!

 

It sounds like a shift console switch except that problem is usually
strongly associated with cold weather and cars of ~1990 vintage. When
you say you tried to shift P R D, did the shifter work normally? Does
the indicator light match the actual shifter position?