Police lie.
No way!
Really, OP, take a look at this clip before you decide whether you should consult an attorney or not.
YouTube - Dont Talk to Police
If you want to pursue this, and help the police do so, making a statement would help, however, you need to consult an attorney (so you don't unintentionally hurt yourself in some way). You could not make a statement (essentially dropping it), but since you said you received a subpoena, that changes things (and your options). You may not, not have the option of giving a statement now. An attorney can tell you for sure.