Just from the initial image, understanding it's confidential, it looks like you don't have a parent task for the overall project. If everything is not indented from a parent task for the project then it won't show completion for the project like you want. For instance, the project should look like: ...

I would say that it's certainly not out of the ordinary to have that many predecessors and especially if it is a critical task, it makes sense that items need to be locked down before it can be moved forward. Is there a concern with your project that this will make it unable to move forward in a tim...