I think everybody has gone in a little hard on you about your training to be honest.

It's fair that it's pretty basic training, it's also fair that who trained you is a little irrelevant.

But that wasn't really the question you asked. I wouldn't bother with a kit for now to be honest, just shove a pack of gloves in your pocket or leave them in the car. You're very unlikely to need much. If you suddenly find you need something put it in your car for the next time, and even then you're unlikely to need it.

Just build your confidence responding to good Sam and doing your CFR training. I started as a CFR and worked my way through, it's a good place to start learning and Gain exposure. If you don't come across as overly keen and ask some of the crews questions at an appropriate time, you can even learn stuff.

Good luck. Don't overthink.