Yes Jamaica regularly enters a team into the Olympic Games. Indeed Jamaica has some Olympic gold athletes.
57
68 total 2008 olympic team members
There were 433 athletes that were in the Australian Olympic team went to the 2008 Beijing Olympics Games.
I found this web site but haven't tried it out yet: http://www.casualmovements.com/rasta_wear/jamaican_wear/jamaican_wear_main.html Didn't see anything specifically Olympic, but lots of items with Jamaican flag.
China
The USA team
463 athletes represented Germany in the 2008 Olympic Games.
2008 is OVER
China - 639.
435
267 athletes