Second Marriage And Baby , Documents Help

Hindu-husband has filed Divorce Case Sec13i cruelty And later Wife Has Filed sec9, it been 6+ years they living separated. Husband has married with other girl and now expecting baby.First wife not at all ready for mutual consent. So what about child future.1.getting child birth certificate. Whether husband can mention his name of baby birth certificate while case is going on? Any impact of it if other party know this from somewhere , will they have advantage as case is at argument level after cross completed? 2. All legal rights of inheritance , will child get it.. 3. Without marriage certificate, is it possible to give husband name and new wife name while applying baby passport.or have to show single parent due to ongoing case prb.3. any changes to go legally with surrogacy process?