Sounds like CRTs do produce some radiation but the amount it produces is marginal. Modern CRTs should have leaded glass which should substantially reduce the amount of X-rays you would receive.
The above article says 0.3 microS/hour which is less than one tenth of the radiation you get from an hour of flight, or about 10 hours of sun exposure.
https://en.m.wikipedia.org/wiki/Flight-time_equivalent_dose#Radiological_exposures_and_limits
So it looks like you will get radiation exposure from CRTs but it is not much higher than background radiation. Bring sedentary for hours in front of a CRT TV is probably worse for you than the radiation you would get from the CRT.
Nah if you only build a 2D structure, you won't have to worry about the water pressure because your structure will likely not be able to interact with 3D matter. It's genius engineering IMHO.