Right now you have two single-lookups (Dikte and DSN/ELE) that are both able to independantly change visibility states. As you can see, that does not work properly.
The way that it needs to be set up in order to have independent visibility parameters is that you have a lookup for each desired visibility parameter and instead of having those lookups directly change the visibility state, they change the x or y position of an invisible point parameter. The x and y positions of that point parameter are then used as the input parameters for a double lookup parameter and the second table changes the actual visibility state. You need to create a visiblity state for each of the permutations for the two lookup parameters. Dikte has the choices of 2mm, 3mm and 4mm. DSN/ELE has the choices of Doorsnede and Aanzicht. The permutations would then be (2mm, Doorsnede), (2mm, Aanzicht), (3mm, Doorsnede), (3mm, Aanzicht), (4mm, Doorsnede), and (4mm, Aanzicht). You need to make all six of those visibility states.
You then need to add a point parameter. For ease, name it Input. For its location, I would recommend placing it at 2,1. The Dikte and DWN/ELE lookups will NOT change the visibility state directly as you have it set up. Instead, they will change either the x-position or the y-position of the Input parameter that you just added. You will need to add remove Visibility1 from both Dikte and DSN/ELE tables. Then add Input X as the input parameter for Dikte. Input a value of 2 so it corresponds to 2mm, 3 to 3mm 4 to 4mm. Next add Input Y as the input parameter for DSN/EXE and add the value 1 to correspond to Aanzicht and the value 2 for Doorsnede.
Next you will need to add a double-lookup parameter - if you do not know how, then follow the directions of the thread I linked above. Name the double-lookup Bridge. Name one of the two associated lookup tables Input and name the other Vis.
Open the Input lookup table. For lookup properties on the right, add 2 - 1, 3 - 1, 4 - 1, 2 - 2, 3 - 2 and 4 - 2. Add Input X and Input Y as input properties to the Input table. Add the appropriate values for Input X and Input Y so that they correspond to the 6 Lookup Properties you added in the last step.
Next open the Vis table. Add the SAME six lookup properties on the right. They need to be exactly the same as the lookup properties on the Input table. Add Visbility1 as an input property to the Vis table. Choose the correct state for Visibility1 so that it corresponds to the correct lookup property that corresponds to the correct Input X and Input Y values on the Input table.
Crystal clear?
In looking at your block I would make a couple other suggestions. If you have three different size lookups then I would recommend having them reference three different X distance parameters and three different Y distance parameters. That way you can have the default size of each be on its corresponding lookup table and will avoid the KIES PROFIEL!!! value.
You only need one rotate parameter/action and have it visible for all states and rotate all three attributes. Do the same for the point/move - just have one that is visible for all states and have it move all three attributes.
Let me know if you get stuck.