Instead of/Rather than

Hi! Are "instead of" and "rather than" the same meaning? Number 3 and 4 are grammatically correct but not so common aren't they? Thanks, Fulvio

1. Would you prefer cooking instead of doing the dishes?

2. Would you prefer to cook rather than do the dishes?

3. Would you prefer cooking rather than doing the dishes?

4. I prefer cooking the meat well done rather than cooking the meat medium rare.

5. I prefer cooking the meat well done to cooking the meat medium rare.