1:A lawless world with hostile individuals at every turn? I think I'd probably do a stick up test. Meaning I'd stage a roberry to try and gaige
just how hostile this person is before I make a judgement or try to befriend them. I honestly think that..yeah i'd probably forego most morals just because others wouldn't think twice about stealing from me or blowing my head off or something. That said, if they seem legit nice and are asking for some supplies, I'l share as much as I can because that's just the kind of person that I am XD
2:I would definately try to get myself into a city. There's just so many super duper tactical advantages but also that works as disadvantages against me depending on how smart the other people are. From high areas (assuming they wont reduce to rubble while trying to climb) to scope out the area and lie down on rooftops to keep a low profile with binoculars, to all the higher possibilities of finding stuff like food and some scrap or electronics (i'd force myself to become a mechanical gearhead wiz). There's also a lot of hiding places in case you need to take a passive approach to a human or creature coming nearby. More shade too from all of dat heat from Mr.Sun and it'd also help if there was a Nuclear Winter and you'd have a lot of underground to traverse kinda like Metro 2033.
3:OH BOY, I'd be alone most of the time while keeping a group nearby. If it is as hostile as I'm imagning, I don't think I'd want to get too close or too far to someone else. But as I said before, if they are legit nice I'm definately going to stick to them like butter. Other groups attacking..well i'm not ashamed to admit that I'd run or attempt to run amidst the chaos. Maybe let the douchebags of the group take one for the team while trying to save the good folks. (Jeeze, I sound like such a jerk XD) Not just for the added benefit of scavenging groups, but i mean it'd be nice to have at least ONE pony to talk to while digging through dusty food store aisles looking for those beans from 1983.
4:A weapon? I think more than likely I would look for at least a gun. Handgun definately as it seems more practical and easier to carry around. Ammo would probably be rarer than food so I'd use the buttocks of it to smack a bro if needed. I would also try and find a good rifle of some sort as I would probably fashion a sling for it from some old luggage or backpack straps (Mechanical savvy baby). And definately a good, sharp object of some sort like maybe a kitchen knife and put it somewhere easy to carry like a pocket since it's so small. Probably end up cuting myself when I forget it's in there and I put my hand there but hey SURVIVAL IS WORTH A FEW CUTS.
I think I covered all the points you brought up. Really interesting as I love The Walking Dead and Fallout series both!
EDIT: Forgot to mention, i'd avoid a hospital like the plague. No really, I would go to smaller clinics to look for supplies or head to a major medical lab. Seems like it'd be more liekly in my bizarre logic to find some medical supplies