That sounds perfectly normal to me.

Personal opinion: as long as you have some variation in your exercise, it's fine to run without paying too much attention to heart rate. If you run different routes or mix hard with easy runs, you already do most of what heart-rate based training program would make you do, which is to build endurance as well as sprint capability - the former for health and fun, the latter so the uphills don't kill you :)

As a rule of thumb, non-runners often have resting heart rates in the 60s while active runners find themselves in the low 50s or even 40s. But age, size and genetics all make this number pretty individual.

If you have a newer running watch, they often have a "running power" display in Watts, too. I like to sometimes use that to do runs in a fixed power range. It's more immediate than heart rate, i.e. it immediately forces you to slow down just a few steps into a climb, but it also demands surprising speed the moment your route levels out again. It at least taught me that by avoiding high-intensity sections, my stamina reserves last for a much greater distance.