All claims or demands against the City arising in tort shall be presented to the City Council in writing, signed by the claimant or his attorney or agent, within ninety (90) days after the claim or demand is due or the cause of action accrues. No suit or action shall be brought on such a claim or demand within thirty (30) days or after the expiration of twelve (12) months from the time the claim or demand is presented. Unless the claim or demand is so presented within ninety (90) days, and unless suit is brought within twelve (12) months thereafter, any action thereon shall be barred.