When an organization tells me its website is not working, the website is rarely the only issue. The domain is registered to someone who left. The hosting account belongs to a former vendor. The social media pages send people to an old URL. Nobody is wrong; nobody is responsible.
Look at the whole picture first
Before deciding what to build or buy, list everything digital you depend on and who controls it. That list alone usually explains half the problems.
Then decide who owns it
Every part of your digital environment needs an owner. It does not have to be one person doing everything — but someone has to see how it fits together.