What's your mobility profile? As in how physically strong are you (rugby prop forward vs ballerina type build). And will you carry the laptop on foot or public transport a lot? Or will it be transported in your car with short walks with it?
This will determine the right size laptop for you.
For "vet med and will be using it for both schoolwork and streaming services such as Netflix" you don't need anything fancy for the CPU etc on your laptop. Which is good as we can focus on the build quality and the battery life.
For storage, a laptop with a tiny SSD hard drive at the right price would be worth buying, as you could install a very fast 1 tb SSD for an additional £60 plus a few minutes of your time.
Get a laptop first. And then later, if you so wish, you can get a tablet too.
I agree on paper for notes. You could always get a scanner if you wanted to digitise your notes.