Actually they did a HORRIBLE job on depicting a medieval battlefield.
1. No one in their right mind would fire arrows at their own men. Because
a) Boltons had twice as much men, they would of won the skirmish without the help of the archers.
b) Medieval battles were mostly won or lost on morale. If you are fighting for a comander who throws arrows at you after you charge...well... lets just say the men would not be very inclined to fight for you a second time and there would be mutiny in your ranks.
c) Cavalry was VEEEEERY expensive in the middle ages. peasants would not be able to afford a WAR horse. War horses were bread purely for war and they were more muscular and resilient then average horses. These warhorses were mounted by knights or sons of noblemen.
Shooting your noblemen sons willingly and for no reason would create massive turmoil in your army. You would not only risk asssassinations but you would risk outright civil war as people would consider you a madman.
2. They had a forrest behind them. Why would they not be fighting in the forest? It would prevent the boltons from using their cavalry charge and it would prevent them from doing their shield wall properly.
3. They allowed themselves to be encircled. That was pure madness. You would think one of them would of screamed "MEN fall back to high ground!! break off, form ranks!" But nope , instead they just stood there like idiots.
4. The boltons did fight like an ACTUAL military force. Shield wall with spear formations, similar to the romans. That is how a military battlefield would look like. Organized and methodical. It makes people know "there is a plan" and they need to follow the plan. It makes soldier feel safe and it makes morale high.
Johns soldiers fought like a bunch of 2016 amateurs. And if you would say "well they were savages". Then they should of been butchered by the nights watch and the white walkers ages ago. Because fighting like that does not have a chance against an organized medieval military.
It makes for good tv drama but it has 0 merit for an accurate view on ancient times.
I have made a video with a historian about this. Feel free to watch it if youd like to know more about the tactics
https://www.youtube.com/watch?v=2pcw2KnT7_4