RE: Coyote population question
I agree 100% with StrmChzr -
Also, the fact that you are seeing fawns is good (even if they are being chased) - because the highest predation time is June - right after the fawns are dropped.
You need to keep things in perspective (like Bad Winters, Bad mast year, etc) - and take a survey of the twin fawns you see in late summer. All else being equal - you should observe twin fawns, about 1/2 the time you see does/fawns in a healthy population. If - following a good year - you are not seeing multiple fawns - then there is a problem of some type.
Curiously, Bears are much tougher on fawns in the spring than Coyotes - but coyotes can also have an impact - as you know.
We've learned to live with the coyotes - a 50 lb coyote here is nearly average for a full grown animal.
One thing a landower/lease can do - is work to increase the small game population. Clover plots, bordered by heavy blackberry patches have really helped our rabbit population come on. Increased plots overall, during the last 5 years - has REALLY allowed our woods to have an UNDERSTORY again. Mowing fallow fields, and leaving the grasses/weeds laying - provide food and cover for mice. You might want to consider Log - or Living Brushpiles in young woods - for small game cover. These management techniques can increase the preferred food sources for Coyotes.
Shooting a few is good too - You want them to fear Man - and taking a few will help you to enjoy having them around as a healthy part of the habitat.