I have no idea what the capacitance of ice is but if it is even close to water, it should register overfull, not empty. Maybe there is another problem. Either way, if you don't need to know the actual level at all times and just when it is full or empty, I would switch to a temperature sensing...
No problems. I've done it many times for pressures up to about 4000 psi. I've always used Cryoquip. I have no affiliation with them. There might even be a better company, Cryoquip is just the only vaporizer company I have any experience with. They make systems that can be used up to 15,000...
I'm not sure I agree. If the LOX is saturated at a low pressure (<100 psig), then as liquid is pulled from the bottom, the gas space expands and drops in pressure roughly equal to the increase in gas volume. Not until you drop the gas pressure to the liquid saturation point does all the liquid...
I wouldn't worry too much. The standard MAWP for a tank that size is ~220 psig and BOC is filling tanks like that all day long. Most off-loading pumps are good for about 100 psig above the pressure of the tanker, so maybe 120-150 total. Just make sure that you have the Trycock open when...
NexGen Fuelling has a facility in Canton, Georgia where they have done drop tests on 119 gallon vacuum insulated cryogenic tanks. There is an SAE standard for these tests. I forget the number, SAE 2243 or something like that.