Am I too unfit to have ‘easy runs’

I’ve been running now for 3 months and mostly doing park runs and a few runs on a treadmill. Even when I try to jog slowly I can’t seem to get into zone 2 and if I walk my heart rate is so calm it’s almost resting.

I really want to get my low aerobic and anaerobic up. But I’m thinking as I’m still overweight and getting into the stride of things, is this just something that’ll get easier as I move out being unfit.