This is a strong brine, about five per cent of the water, which suits a kvass destined for barszcz. If you are drinking it rather than cooking with it, dilute it in the glass or use 8 to 10 g of salt next time.
Slice the beetroot, do not grate it. Cutting it finer releases sugar too fast and pushes the ferment towards alcohol instead of a clean sourness.
Everything under the brine. Anything sitting proud of the liquid is where mould starts. Weigh the pieces down if they float.
Room temperature, about 18 to 21C, and never the fridge to start. A cold kitchen means a slow ferment rather than a failed one, so give it longer and keep tasting.
Cloudy is normal. Discard it only for thick or ropey liquid, fuzzy coloured mould, or a smell that is off rather than sour. A flat white film is usually kahm yeast: skim it and carry on.