ignition questions

i have a 96 accord v-6, lx and i have remote start as well. What i was wondering is when i turn the key to acc all my lights come on. All the other cars i've had when i turn it to the acc position only the radio comes on and when i turn it to the on position all my lights come on. i just bought this car a month ago. When the car is started and i turn it back to the acc position, the motor is still running? it is really bugging me i've asked a few people and they have never heard of that?
any help would be amazing.