My advice to stop timing your solves. It's quite addicting thinking timing your solves is the best way to get faster. Focus more on deliberate practice such as if you occur a f2l case, slow down, think what solution is not going to have a cube rotation. I'm a terrible explainer, but Felix and Khan may help you,
I also think you should solve the cross and f2l slow when practising. This reduces pauses and you may find better solutions for cases. For cross, try to solve it in 8 moves. Brody's videos are very helpful imo. here's one link:
At this stage, it's more so you getting used to f2l and getting the cases you see in your muscle memory. F2l was frustrating for me when I was averaging 40s. It just comes to practise and having the motivation to not give up. Hete's an f2l vid from Brody that may help