The English word right has multiple meanings. Use different ASL words for other meanings.
Meaning: In accordance with what is good, proper, or just; true or correct as a fact.
Semantic variation.
Question: What is the difference between signing once and twice in RIGHT?
Contextual variations. The best way to learn the subtle differences in contexts is to immerse in ASL conversations with Deaf people.
Similar signs for CORRECT, TRUE, FACT.
Regarding "the right-hand part, side, or direction", see RIGHT, RIGHT-SIDED.
For any basic legal, social, or ethical right or freedom to which all human beings are entitled, including rights to life and liberty, freedom of thought and expression, and equality before the law, see HUMAN RIGHTS.
For another meaning -- "immediately" or "without delaying or hesitating", see IMMEDIATELY, INSTANTLY, NOW, RIGHT NOW, QUICKLY.
First 100 words.
As you feel more comfortable with the first few hundreds of ASL signs, progress further with your vocabulary and learn signing more.