I'm not sure how this test is intended to be answered or "scored", but my notes are in red.
Do you often start things and do not finish them? This applies to many types.
Do you often think of something to start but lack the will or the follow through to do it? This as well.
Do you have a hard time keeping care of your bodies hygiene? This could apply to many types, particularly intuitive types... honestly, I would think that LII's care for their hygiene better than most intuitive types.
Do you have a extreme fear of death? Not type related.
Do you have existential anxiety? This could apply to many types.
Do you tend to look at every relative viewpoint possible? This applies to a lot of types, but I think it does suggest Ne > Ni is if someone thinks about this a lot.
Do you tend feel like criminals are mistreated? Not sure why you asked this question... but I would think there are a lot of types who would be more sympathetic to criminals than LII.
Do you think that everything that happens is a result of something else? This applies to many types, and if someone thinks about this aspect of reality a lot, I'd say they're more likely Ni than Ne.
Do you believe in determinism in the accepted context of reality? Not sure about this one... I have a hard time understanding any perspective other than determinism, and I don't know what you mean by "accepted context of reality". I didn't know there was an "accepted" context of reality?
Do you believe in being rebellious? Unless someone explains their answer quite thoroughly, I don't see how their answer to this could provide any type clues.
Do you have a strong need to be original? This could apply to a lot of types.
Do you have sometimes come off as being sarcastic? Sometimes? Who doesn't? And even if you meant "often", this applies to a lot of types.
Do you have a strong need to overthrow authority? Again, there would need to be explanation to make someone's answer to this useful.
Do you have a problem following authority figures? This too. Both of these questions could have answers based on Se, Ti, and/or Aristocracy/Democracy.
Do you have a hard time feeling true sad feelings about things? What logical type doesn't?
Do you have a hard time crying at funerals? I think a lot of people do, of various types. And I'm sure it would depend on whose funeral it is, too, and the situation.
Do you have extreme social anxiety? People of all types have extreme social anxiety. I would think that both LII's and ILI's would tend to more often than many other types.
Do you have to use words like "in this context" or "in this relative plane" when stating something as being true or false? This could be related to many things... Ne, Ni, Ti, Te, Static/Dynamic, etc.