Im in a rental and im pretty sure you have to pay for pest control yourself, you can call your agents and ask, we are lucky and have good agents that manage to get owners to fix everything within 24 hrs of reporting it and are willing to go halves in an air con, maybe u can ask if owners will go halves in pest control? I think its a hundred or two for a normal sized house, lasts way longer than anything you can buy at supermarket/bunnings too.

We get the huge ****roaches too over here in Perth, they are gross but luckily they are not after food unlike the small black ones and tend to be loners and not infest.

We found some good spray at supermarket, its mortein lure n kill surface spray, it smells like orange which is slightly better than that horrible fly spray smell, it does lure the ****roaches but its very potent and we find them dead within 30cm of walking over where we've sprayed. So that could be a quick fix for a while, good luck!