An article and an essay are pretty interchangeable, they're both short writings (more than a paragraph, but not an entire book) on a subject.
Article tends to be used more for publications (magazines, blogs, etc.).
Essay tends to be used more for things you have to write as part of schoolwork.
A journal has different meanings.
Either it's a publication (usually a magazine or newspaper) on a particular topic or field, or it's a regular (often daily) writing such as a diary.
So, if you're writing something in a notebook and not publishing it:
Article could fit, but we'd probably not call it that without publishing it.
Essay would fit if it's about a particular thing.
Journal would be a great fit if it's something like a diary entry, but a bad fit otherwise.
Note would be a good fit if it's something really short (maybe not even a full piece of writing), mostly to be used as a memory aid, study aid, or record.