Hi!
I do not live in Melbourne at the moment. I moved a year ago. There are lots of things in Melbourne if you are willing to explore. In historic down town melbourne there are a few places that have music on the weekends. THere are some nice bars and a great pub.
If you go up A1A North from there I know there are a few clubs many jazz and blues related. As for the jazz/blues scene, there are a lot of concerts and such during the year.
Jazzseries.com: Florida's Smooth Jazz Concert Connection!
Roland puts on a lot of concerts and there is a smooth jazz cruise every year too. Acoustic Alchemy and the rippingtones are there frequently I do beleive, as is Chris Botti who I am a fan of. There is also a swing time band and concert band residents can perform in. I was in it for a while.
Melbourne Municipal Band
Have any particulars ask away, I will try and answer. A lot of people say there is nothing to do in Melbourne, but I think it is what you make of it. A lot of Florida beach communities are laid back (besides down south) I know Tampa has quite a bit of jazz going on to. The smooth jazz station I get at work (I live in Central Florida) is
Smooth Jazz WSJT 94.1 - Homepage. Clearwater has several jazz concerts a year. One coming up has Boney James Headlining the 18th and Paul Taylor the 19th. Plus there is a huge event in the fall. Ruth Eckerd Hall has many concerts, BB King is in May
Ruth Eckerd Hall - Tampa Bay's Favorite Performing Arts Center for Concerts.