Scientific term for people who value following the rules What is the psychological term for people who believe that: 


they have strong rights
that others should be nice
that others should respect unwritten rules
that others should not lie


They believe in rules that everyone should respect. They may hate hypocrisy, but for sure they judge other's behaviour and thinks that others should behave according to the rules. 

What is the scientific term for this personality trait?
The concept you are looking for is social conformity, which is opposed to personal autonomy.

Scales measuring this concept, such as the Feldman conformity scale (Feldman, 2003) and the conformity subscale of the "Portraits Value Questionnaire" (Schwartz et al., 2001), contain items similar to your examples, e.g.


Obeying the rules and fitting in are signs of a strong and healthy society.




Sources:


Feldman, S. (2007). Enforcing social conformity: A theory of authoritarianism. Political Psychology, 24, 41-74.
Schwartz, S. H., Melech, G., Lehmann, A., Burgess, S., Harris, M., Owens, V. (2001). Extending the cross-cultural validity of the theory of basic human values with a different method of measurement. Journal of Cross-Cultural Psychology, 32, 519–542.