There are a few things you can do to improve images like this.
First, looks like you used flash. Try going with natural light if you can. You may need to use a faster film speed, like Fuji 800. That will help you bring in more ambient light and reduce or eliminate the need for flash.
Second, looks like you did not have the subject in clear focus. Were you hand holding the camera? Was the flower and bee waving in the wind or bouncing around? Sometimes you need to use a tripod for these shots, or hold very still. Again faster film will help with this because it's going to help you freeze the action a bit.
Just note that faster film is not always helpful, especially in brightly lit conditions. It's best used in diffused light.
If my memory is correct, the Dynax 5 is a film camera (it's the European version of the Minolta Maxxum 5). Did you happen to get a 50mm lens with the camera? Some of the kit zooms you get with the cameras are not very good and they don't focus very close. You may want to try to pick up a standard 50mm f1.8 or f1.7. You'll be surprised at how much clearer and sharper some of your images will turn out.
Finally, don't try to get closer than the lens can actually focus. Every lens has it's limitations. I have some lenses that can focus as close as 1/3", and some that require me to be at least 6 feet away. Take a look at your lens. Zoom in out all the way, then walk toward a subject until it's in focus. That's your minimum focus distance. Then do the same thing with the lens set on it's widest angle. Note that distance as well. If you walk closer to your subject, it should get blurry. This will help you to realisically determine how close you can get before the closest focus point is lost. Make sense?