Can the person who cashed a bad check go to jail as well as the one who wrote the bad check?

It Depends. If the person who received the check wasn't aware of the fact that the check he received was bad and proceeded to deposit it, he will not be jailed. However if it was a conspiracy which both members are a part of, then yes both parties will be jailed.

The point here is that usually bad checks don't get paid by banks. So if the bank pays it means both the giver of the check and receiver of the money are liable for an explanation in case there was a forgery involved