For the grid point skipping that will happen when the probe can't reach the point you've set it to probe.
You'll need to set the grid size taking into account the offsets of the probe.
For starters though you should verify that you can actually reach the extents of travel you've defined with M208. With the nozzle at 0,0 which should be the center of the bed, can you actually move 115mm in every direction from there?
Have you measured the distance of the probe from the nozzle accurately?
For the heaters, they likely just need to have a tuning cycle.
https://duet3d.dozuki.com/Wiki/Tuning_the_heater_temperature_control