As of 1.0.5 this issue should be resolved. Please log a ticket if you are still experiencing problems with missions.
We have identified an issue with No Way Home's mission system not progressing the active mission or not setting a mission to complete.
This issue seems to occur on missions where a location needs to be destroyed.
We have identified a fix for 1.0.5 and we will have it live soon.
Thank you for your patience, and we'll have you back up and running soon.