- Yes, run the Hybrid Wizard again after you make those changes. Ensure you apply a valid, trusted 3rd party certificate to the 2016 server that will be used for client / endpoint connections and set the URLs correctly.
- Change the source server on the on-prem Exchange Side from the 2010 server to the 2016 for any send connector
- Recreate any custom receive connectors you have in 2010 on the 2016 server. Ensure the 2016 has the same settings for the connectors that the 2010 server does for the hybrid mail flow
- Yes, re-run the Wizard and set to the 2016 server instead of the 2010.
Detailed Steps:
https://www.c-sharpcorner.com/article/hybrid-exchange-2010-to-hybrid-exchange-2016-part-one/
Use the latest version of the Wizard as well:
https://learn.microsoft.com/en-us/exchange/hybrid-configuration-wizard-faqs