Would I be more likely to get the developer to pay for an inspection?
Maybe, but I would still pay for an inspection on your own. It's a very cheap way to have a somewhat neutral third party identify any conditions that would cost you many times more to fix.
Can new constructions come with a warranty?
Yes - the builder could warranty the home for a period of time (one year is typical), but it's not required (it's generally added to protect the reputation of the builder), and only covers defects in workmanship, not normal wear-and-tear.
Since they've only sold a handful of properties would they be more likely to negotiate?
Not necessarily - it depends completely on their negotiating skills and the market conditions. I've known builders that refused to negotiate price because they knew exactly how much is cost them to build the home and what profit margin they expected.
Houses are not like cars in that new construction is not significantly more valuable than homes than have been lived in. Normal wear and tear on homes is generally pretty cheap to repair (paint, carpets, etc.) so there's not a huge difference between new and "used" homes. Location is the biggest factor, with quality of construction and features next.