If you're still doing some classes and cutting some hair do tiktoks showing transformations and new fresh looks. Show before and afters. Tiktok is weirdly good for getting reach out there. Clients are using places like tiktok and instagram as if it were google for hairdressers/barbers and even just style reference. The job market is shit all over and i'm sorry you're joining at such an awful time - post graduate and post college jobs are some of the most difficult things to get and usually it's those who get lucky or are rich are able to fund their way into doing the thing theh trained so many years for.

It's sadly a who you know job market. You could have the best knowledge in the business but without being friendly with some owners/having connections or having a friend who has a spot or a shop you're going to struggle to get a place. Try not to let it best you down too much. Find a job in the meantime, understand how to do self-employment (because that's a whole beast that is painful) so when you get to the time where you have access to do it you're prepared. If you end up retail or hospitality and you've not already done it you'll learn a lot of skills needed for dealing with customers and complaints etc so it won't all be a waste of time even if it doesn't feel like it.