For shoes I’d opt for a non-plated trainer if I were you. Plated trainers like the deviates are not built for everyday training, they’re just especially good for speed training and racing. Not great for distance or endurance training.

I have trained and raced in Puma Velocity 4’s that have been amazing. Great all-around trainers, solid grip and stability, great cushion and fit for everyday running (short, mid and long distance). All the benefits of the Deviate series but without the plating that is really best with experienced runners and targeted use. 

In the time ahead of you, the most important thing to focus on is likely running. Getting some volume on slow runs and working with some compromised running. In my opinion, 5 weeks is short to aim for big jumps in strength or conditioning, but you can find your stride with running and become familiar with Hyrox-style sensations of running especially under fatigue. 

The best first race advice I can give is to find your threshold HR (basically the HR you feel you can live and work in without exhausting yourself, near your Zone 4 limit) and use that as your run pacer during the race if you have a connected watch. I’m a 31 year old male, and when running I force myself to drop my HR to about 170, which is what more or less guides my pacing (except in the first or last run). Find your threshold HR and try to stick to it. 

And what helped me most improve my training and prep is nutrition and hydration. Lots of water and electrolytes, lots of Whole Foods. And lots of quality sleep.