OP I am a 35 year old teacher who thinks you’ve had some great advice here. I’ll just add this:
I graduated at your age and like you, struggled to find work in my home city here in Australia. I decided that having financial security after four years of uni-induced poverty was a major priority... so I would take a job, wherever it was.
More importantly - and perhaps you’re the same - I felt a desperate need to ‘get in’ to the classroom. I wanted to REALLY learn the ropes of teaching: running a classroom, being part of a team, developing relationships with students,
working with parents, and learning from experienced mentors. (That last one is a BIG one).
This is stuff that you’re not going to get doing supply work.
So I moved 200 miles to a job in a country town despite having a boyfriend back home.
It was extremely challenging for a whole litany of reasons. However, it absolutely made me as a teacher. The skills I developed there put me in good stead to apply for better positions back home after two years; I had a stack of money, with two incredible month-long trips to Nepal and India under my belt, and a strong sense of my career goals. I knew how to teach and had the opportunity to take on leadership positions as a graduate- a real cut above what city grads could do.
Oh, and I dropped the boyfriend who I’d started with (which was a great decision!).
I say all this as it sounds to me like your sense of ‘career crisis’ is affecting your decision about living arrangements with your bf.
You need to sit down and think about what YOU want for your career. If you decide that getting into a full time position is important - as it was for me- you may need to move.
And that is okay...because your 20s is absolutely the time to explore, travel and develop your professional identity. Other teachers I worked with who had varied backgrounds of teaching in different areas were generally much stronger teachers than the locals who refused to move outside of the city limits. You don’t want a narrow world view / life experience in a job like that.
Hard-to-staff schools where jobs will be available are going to have the most challenging kids- but they are what will make you a great teacher and contributor to your national community
I say crack on with job applications.... take a risk and have an adventure!
For the love of God do NOT be locked into a mortgage with a man at your age.
Sort out your career stuff and stay independent. There’s plenty of time for the grown up mortgage/serious relationship stuff once you’re thirty!
Good luck OP!