I'm new to this forum and the Integra society so please excuse any improprieties I may unintentionally commit.
First define the problem and the conditions. "Starting issues" is vague description to me. When cold, does the starter turn the engine over at sufficient speed, but there is an apparent lack of spark or fuel prevent starting? Or does the starter barely turn over the engine when cold? How old is the battery? Has the level of electrolyte been checked? Have you tried a remote starter? What's the voltage at the starter?
A curmudgeonly mechanic summed it up: "It all boils down to a leakage or blockage of fluids or electrons."
If the starter is turning the engine over slowly, the battery is suspect. But bad grounds or corroded wiring can increase the resistance and reduce the voltage delivered to the starter. The combination of cold reducing the output of the battery and the increased resistance may be sufficient to create the "starting issues."