I'm Sergei Tokmakov, California attorney (Bar #279869). Counter-notice is the right first move. Amazon's DMCA process largely tracks 17 USC 512(g) — once you file the counter-notice, Amazon must restore unless the complainant initiates litigation in 10-14 business days.
For damages: Section 512(f) creates a private right of action for "knowingly material misrepresentations" in DMCA filings. The Lenz v. Universal Music line of cases supports recovery for this. Document daily lost sales, conversion rates, ranking drops. After the counter-notice resolves the immediate issue, a demand letter for 512(f) damages on attorney letterhead at $575 flat is often very effective — bad-faith DMCA filers settle quickly to avoid the federal court exposure. Informational only.
Cross-link: the basic counter-notice template is at /Demand-Letters/forum/thread/employer-not-paying-overtime-california.html — you'll want to adapt it for DMCA but the structural elements (sender, recipient, statutory basis, demand) are similar.