The hawks attack from the sky so a covering over the run is a good idea. If that isn't possible provide a few sheltering places for the chickens to run under.
Coyotes attack from below. They will dig under your fencing unless you add a "skirt" out from your run fence. Coyotes are also able to climb or jump a pretty high fence so we're back to covering the run with something pretty substantial.
Many people here have dogs that are trained to protect their animals. That may deter a small coyote pack, but do nothing to thwart a hawk.
Where coyotes run you are likely to find raccoon, opossum, weasels, and other preying varmints. Besides the fence skirt and covered run, it seems that a lot of folks here suggest running electric wires on their fence.
Keeping "them from coming near my coop" isn't something I wouldn't expect is possible for most of us mere mortals.
Good luck with your chickens!
Love, Linn B (aka Smart Red) Gardening zone 5a - 4b in south-est, central-est Wisconsin