What Ridgerunner said is good practice for most poultrykeepers, a good basic outline of a successful method to follow. Mine is different, but everyone needs to tweak the formula to their conditions.
I also don't vaccinate for anything, never have; the few already vaccinated chickens I'd bought all died of disease many years ago but my non-vaccinateds are still going strong.
I personally do keep old chickens, in large part to help sort of inoculate the ground/environment/future generations with whatever diseases they carry, so I can maintain working on resistance at all points, which you can't do without the diseases being present of course; this is influenced by the fact that the very first chickens I got brought in multiple diseases. If they hadn't, I would have sought them out to acquire immunity or resistance as applicable for mine because I am keen on forging decently resistant lines. Too many weak lines out there already, they're a disservice to future generations of both chickens and humans alike.
Also, you can't know what longevity or age-related diseases your flock carries, genetically speaking, if you don't keep old chickens. I made mistakes early on with selecting breeders under the age of two years then culling them once used, which was too soon apparently because chickens, turkeys etc only reach full true maturity after two years old and once they do, temperaments can change without warning. Before that, they were young adults, regardless of how mature they may have seemed. Now I keep all my older ones to see how they are as full adults, both in terms of health and temperament. Also, they help preserve peaceful social order, which I also consider highly important. I wouldn't tolerate a flock of chickens that mauls and kills their own.
Most Marek's authorities say if your flock has not tested clear of Marek's, assume you have it, because of how common it is. There are often no symptoms whatsoever because most chickens, especially 'neglected'/barnyard type flocks, are highly resistant to it. I did have to weed out some lymphoid complex disease prone weaklings to begin with but in the years since it's never been necessary again.
Best wishes.