I don't think the problem you're seeing would be from a bad clutch. It COULD be from a misadjusted clutch.
First, make sure you're shifting firmly between those gears. By the way, my original 94 motor in my ZX6E had a false neutral between third and fourth and I would hit it every now and then if I didn't shift firmly between those gears.
Another item to check is to make sure that the clutch is disengaging completely when you pull the lever all the way in. If it's not, you would probably have a bit of trouble getting it from neutral to first and first to second as well. If you find that the lever is misadjusted, it is easy to adjust it.
First, make sure you're shifting firmly between those gears. By the way, my original 94 motor in my ZX6E had a false neutral between third and fourth and I would hit it every now and then if I didn't shift firmly between those gears.
Another item to check is to make sure that the clutch is disengaging completely when you pull the lever all the way in. If it's not, you would probably have a bit of trouble getting it from neutral to first and first to second as well. If you find that the lever is misadjusted, it is easy to adjust it.