Welcome to the forums.
No, you are not completely off, but "my job" can be a life-long career [my job in publishing; my job at the university]. It is the regular work you do to earn a living, and it can be short or long-term.
To me, in your example, "job" and "work" are interchangeable - I am looking for work in order to afford my rent and I am looking for a job in order to afford my rent.
- For Teachers