To submit anything as evidence - there needs to be a proper "foundation" laid before it will be accepted.
In law, a foundation is a sufficient preliminary evidence of the authenticity and relevance for the admission of material evidence in the form of exhibits or testimony of witnesses. Material evidence is important evidence that may serve to determine the outcome of the case. Exhibits include real evidence, illustrative evidence, demonstrative evidence, and documentary evidence. The type or preliminary evidence necessary to lay the proper foundation depends on the form and type of material evidence offered.
The lack of foundation is a valid objection that an adverse (opposing) party may raise during trail or a hearing. You can submit evidence if the other side will consent and/or concede that the documentation is evidence at the time of the trial/hearing on the matter.
So you can bring your documentation to the heart, but must lay a foundation as to its authenticity to offer it into evidence.
To file a motion - you have to draft the motion for whatever your requesting, schedule a hearing on the matter with the court, notice the other side of the hearing date and time, and send all parties a copy of the motion.
To file a request for discovery - you just need to send the request to the party your requesting discovery from. You wouldn't need to file that with the court.