Printing logo advice needed!!

Hi guys,

Just completed a logo design (below), and client wants large version for use on a banner. Obviously, when I increase the size, as majority of logo is vector there is no problem, however there is a dropshadow behind the logo which can only be rasterised a certain amount. Im still very inexperienced when it comes printing matters... should I keep the drop shadow as a raster or do I somehow make it a vector? Also, do I send the client many sized versions for various uses or will just one vector version of the logo suit all uses, since it can be scaled as needed? Please advise - ur help is always appreciated!!

I'd send the illustrator file along too, for the customer to pass on to printers and designers if requested. It's a jeffing nightmare when all I get is a crappy jpeg.