In particular, to have his lawyers do "discovery", part of which will be any and all documents related to Obama's birth or citizenship status. In discovery, as I understand it, gov't departments are REQUIRED to give legally traceable access to original material, which would definitely include the "long-form" birth certificate.
They can make the request but if they can't convince the court of the relevance then the judge will turn them down. This is not a fishing expedition. The defense is entitled to documents relating the the charges Lakin is facing and not everything under the sun.