Irrespective of refractometers plato isn't far off brix, nominally the same to 3 significant figures and are pretty much interchangeable. Brix is the strength of sugar in solution as mass. 1 brix = 1 g in 100g solution which is handy to know if you didn't. Both are pretty much x4 anyway to put it into SG for back of a beer mat maths. Tables, online converters etc exist, but at 'normal' gravities it doesn't drift too far though clearly at 'silly' gravities you'll be quite far off. It is pretty much x4 all around 1.040ish. At lower levels it is a bit less than you'd think and at higher levels a bit more, often a read error amount tbh.
Refractometer adjustment ... man, this falls into the realm of what exactly do you want to achieve? They have a purpose in the brewery certainly, but accurate and definitive readings are pretty low down on the list.