Most humans are born good; a sense of empathy, and morality, and rationality, ingrained into them at birth, to get them to do the right things.
Some people are born without any of these, and/or a sense of consequence, meaning they tend to do evil things.
While some good people do bad things and some bad people do good things, in general good people do good things and bad people do bad things.
While it's a little more complex than that, 98-99% of the population of more possess basic human
empathy, which generally influences people to do good things; they feel for other people, know how they think, and so on, and as a result develop a sense of morality around not hurting others. A small percentage, around 1-2%, either are functionally or essentially
pyschopaths. Despite this, they are responsible for around 20-40% of crime, and a much higher proportion of violent crime.
The other 50-75% are people without a sense of consequence, be from it being on drugs or alcohol, or with some other mental problem, or people who's environment ended up with them being bad people. While pyschos are still 20-40 times if not more likely to be criminals, most crime (50-60%, probably) is still committed by people not like this. While there are a variety of factors, usually it's a lack of understanding of consequence, be from it risky behavior or stupidity, and not necessarily a lack of empathy, just a lack of forethought (as in they may feel guilty afterwords but are pushed to do it). A large chunk of them committed crimes while on drugs. 40% of violent crime is committed while on alcohol, for instance, hence the whole consequence thing.
So, in general, most people, say 99%, are born good, and with an innate sense of morality and empathy. 98% end up being good, roughly, with 94-96% being the type to hardly if ever commit major crimes. Most crime is reckless crime, usually related to cars and driving, or negligent attitude, or even drugs. Most crimes deliberately aimed at hurting others are done by generally evil people, so, there's still that 1%, but it's about half and half.
So to answer your question, most people are born good, but not all, and some people change or do bad things anyways.
As for societal influences, most of these are situations where morality is not heavily tied. Religion and traditions tend to be where the gravest moral violations occur, but even then these aren't that big. Gays shouldn't marry, but they shouldn't necessarily be killed or murdered, or even hated. Lip disks are beautiful, or tattoos and piercings, and in others cultures body modification is frowned upon or even found to be disgusting. Some societies wear more or less clothes, with more or less being acceptable (walking around in a loincloth in public, to work, may not be acceptable in the U.S., but neither would wearing a T-shirt to the eskimos). However, most are against deviant sexuality, body mutilation, and even being naked. While the grey lines are often created by society, more extreme things, like don't steal, don't kill, don't kidnap and torture are more or less ingrained into us. Middle Eastern people don't find having their children die any better than Americans or Europeans or wherever in the world. These types of things tend to stay solid across the entire planet, and are more or less ingrained to us as instinct.