I'm not exactly sure what you want out of a "general purpose" kitchen knife. Decide exactly what you want to use it for and how you want to use it, then make your design accordingly. The shape and dimensions of your design fairly resemble a petty or a funayuki, which are both great knives and could fall under the "general use" category.
Petty:
Funayuki:
I think the handle of your knife may restrict your ability to hold it the ways you want. If you look at the handles on high-end, custom kitchen knives, they tend to be very simple. Consider these two handles from Master Smith Murray Carter, who is a very highly-regarded maker of kitchen knives:
Or these from MS Bob Kramer:
I like the lines on your knives from an aesthetic standpoint, but I think you can do better from a design standpoint.
That said, kitchen knives are not the easiest knives to make, so you may want to go in a different direction for your first knife. If you curved the blade a little bit more, I think your design would be a great hunter or utility knife and would be a fine choice for your first go at it.
- Chris