yes, it is an original Olympic sport.
Tennis was a part of the original modern Olympics that were started in 1896. Tennis was an Olympic sport until after the 1924 Olympics when it was dropped. Tennis, again, became an Olympic sport beginning with the 1988 Olympics.
No, hunting is not a original Olympic sport.
Racquetball is not an Olympic sport.
Trampoline Tennis Table-tennis
Have you ever tried playing an Olympian in Table Tennis? It's an Olympic sport because it takes skill to play it.
Table Tennis and Badminton are Olympic sports. Racquetball, however, is not.
Table tennis or ping pong became an Olympic sport in 1988 in Seoul.
Table Tennis became an Olympic sport in 1988 at Seoul, when Yoo Nam Kyu won the gold medal for men's singles.