98 dodge caravan ignition key wont turn steering wheel is unlocked, how do i remove the key core if it wont turn?

if the steering wheel is turn all the way one way and locked by the steering wheel lock then you will have to turn the steering wheel more and try turning the key.sometimes when the steering wheel is turned all the way one way and locked the pressure that is against the lock will sometimes not allow the key to turn.if the wheel is in the straight ahead position it may be the ignition key lock is worn and needs replacing.

Try jacking up the front wheels off the ground & then turn steering wheel back & forth while turning ignition key.

The tumblers in the lock cylinder are stuck and this prevents the key from turning. Spray some lubricant into the cylinder, insert the key in and out numerous times and also hit the end of the key with a rubber hammer while it is in the cylinder and this will help to release the tumblers.

when you are trying to turn the key try turning the steering wheel too sometimes the steering lock gets hung up and this usually frees it up

if the steering wheel is in a bind against the lock the key will not turn easily if at all. try rocking the steering wheel back and forth while trying to turn the key. be firm with the wheel, you're not gonna hurt anything. not to much pressure on the key, forcing the key wont help.

Rock Steering Wheel Back and Fourth While Turning KEY.

Or If the Wheels are Turned HARD in one direction you mest Turn Steer Wheel in THAT Direction While Turning KEY

You may have to get a new key cut if the tumblers in the ignition lock are not being lined up to unlock the ignition. If the key's was bent in the ignition lock, the ignition lock may be bad and need to be replaced with a new ignition key. Try replacing the ignition key's first, but if you have a spare key. Try that first and if the spare key's don't turn the ignition lock, then you may have to replace the ignition lock. Good luck and keep me posted. oh and try moving the steering wheel left to right as you try to turn the ignition lock. 

sounds like you have a frozen lock cylinder. you can try spraying some wd-40 or lube into the key slot and tapping on the ignition and it might free up temporarily but you will most likely have to replace the lock cylinder

Remove battery have checked, remove starter have checked.

Are you using the correct key? Is it your vehicle?