From what you say, I would say that you are probably experiencing the normal 'dead' feeling of the Jazz steering.
The self-centreing is generally quite weak. If you drive down the centre of a quiet straight road with a normal crown, it should feel okay on the crown of the road, on the left side of the road it will struggle to centre from a left input, and on the right, it will struggle to centre from a right input. This is how mine is, and as far as I know, this is quite normal.
If you feel it is excessive, get the front wheel alignment checked for excessive toe-out, look for the tell tale feathering of the tread on the insides of the tyres. Mine was terrible for centreing when I got it, the front toe was a mile out when I checked it.
The notchy feel that many complain of is really odd. If you hold a steering position around centre for more than a few seconds, the wheel becomes 'stuck' and needs a little more pressure to overcome this - it gives suddenly and the wheel turns normally. This effect is a common issue, but can be very subtle... and once you notice it, it drives you nuts.