Oxford says:
respect3

a particular aspect or detail of sth:
In this respect we are very fortunate. Ç There was one respect, however, in which they differed.
aspect
a particular part or feature of a situation, an idea, a problem, etc.; a way in which it may be considered:
The book aims to cover all aspects of city life. Ç the most important aspect of the debate Ç She felt she had looked at the problem from every aspect. Ç This was one aspect of her character he hadn’t seen before.
So here lies a problem. Aspect is a countable noun, and respect is also a count. noun, too. But what the difference in these meaning lying above?