Have you tried brisk walking at first to "get the juices flowing"? Fast walking could provide an easier transition into your jogging.

Even very slow jogging can be quite strenuous depending on your physical condition, so going from rest to slow jogging can be a really abrupt shift in gears, and maybe that's why your body is screaming "Noooo!" when you first start out.

And there's nothing wrong with alternating jog/walking during that tough transition period. Many times, just backing off for a short time is enough to let you pick up the pace again feeling more refreshed. Repeat until you break through to that point when you can continue jogging continuously.

Good luck with that and be careful not to hurt yourself, Martin.