Is the marriage contract valid if a false address for the wife was included in it, and what are the rights of the second wife if she is divorced?

Providing an incorrect address for the first wife does not affect the validity of the second marriage contract. If you divorce your second wife after a valid private seclusion (khalwah) with her, she is entitled to her full mahr (bridal gift), and she is entitled to maintenance for the duration of her 'iddah (definition) (waiting period) and, according to some scholars, the mut'ah (compensatory gift). It is advisable not to divorce without a legitimate reason, even if you dislike the second wife, due to the Almighty's saying: "And live with them in kindness. For if you dislike them - perhaps you dislike a thing and Allah makes therein much good." However, if you strongly believe that keeping her would lead to significant harm, then there is no objection to divorcing her at that point.