Can this be done: Other tyres / rims in the light than on the vehicle!

Hello, I have always been riding tyres of size 175/70 R13 (on 5 1/2 J x 13) on my golf course (Golf III 1.6, Built 11/93, 55KW/75PS). Now I look at my license and notice that only 185/60 R14 are registered there! In the instruction manual there are even 3 possibilities: 175/70 R13 (on 5 1/2 J x 13), 185/60 R14 (on 6 J x 14) and 195/50 R15 (on 6 J x 15). What can I drive now? All those who are in the instruction manual or only those who are registered in the registration? Abe r why are there in the manual 3 possible sizes and only one in the appearance? However, the 175/70 R13 have always been on it and nobody has ever criticized something (TÜV e.g.). Maybe I should say that I bought the car about 3 years ago and got a new appearance at the re-registration (other circle). Maybe there were several sizes in the old appearance. Thanks already for your help! Greetings Michael