Those First Strike creatures are pretty obnoxious. There's so many, jeez. Kinsbaile Cavalier is EXTREMELY problematic and should be dealt with posthaste. Knight Exemplar as well. Off the top of my head I guess those are really big problems, also be cautious around first strikers. If they leave mana untapped and pass the turn, they might be waiting to play Mighty Leap, Sigil Blessing, or Test of Faith and VERY quickly turn the tides. That's about all I can think of. Best of luck with Patreon!

And that was something I did notice when watching two other people play; when one left a lot of mana untapped, the other started throwing red flags and didn't attack. We do need some sort of method for noticing that.

Looking again, those instants the knights' deck has are so obnoxious. Its like they want the dragons to lose! >:c But yeah, in GENERAL if they leave mana open this might be a pain in the butt. You might want to have the computer check the opponent's graveyard to make decisions, since they've only got one of any instant. If they're leaving 2 or more mana open that's a big warning sign. If you've got any creatures of little importance, it might be worth it to just throw those at them to force their hand earlier on, but that's hard to predict without being able to see the current status of the board. x_x So...yeah, it gets REALLY mind-game-y.

A general practice that professional magic players have is to attack first and THEN play anything that's unrelated to the attack phase after. Like, for instance, if you planned to play some dragon that doesn't have haste or any enter the battlefield effects, you'd play it AFTER attacking because then you'd have all your mana available for instants during combat. And, if you didn't have any instants, you could at least BLUFF that you do. Don't know whether or not the opposing CPU will check what mana you have open to make decisions, but it might work in your favor. Its also handy if a creature you're attacking with has "firebreathing", which is a term used referring to creatures that have an activated ability to increase it's attack, like Mordant Dragon or Shiv's Embrace. ALSO ALSO it would be a good idea because you could change your plans for the rest of the turn depending on what the opponent does. Like, for instance, if he played some instant and killed your attacker. In the post-main phase you can play another big guy or something to make up for that or play a sorcery or something.

Punishing fire should only be used on creatures, reason being is that it can be used to dampen the opponents blows, rather than dealing a small amount of damage

As neither side has any cards capable of destroying lands, I would suggest a rule that states always play a land if able (with the exception of Sejiri Steppe and possibly Selesnya Sanctuary).

With the dragons, this is simple, all lands are mountains, so if you have a mountain in your hand and have not already played it, then do so.

With the knights the system is more complex as you need to strike a balance of plains, forests and other lands. If given both a plain and a forest (or sacrificing a grassland to play one of your choice) the first thing to do would be to check if playing one instead of the other will allow you to play extra cards or use additional abilities. If so, it's probably best to go with that, if not try to strike a 2 plains to 1 forest ratio.

Some other rules I noticed that might be useful.

Advice for both
Assign each creature in the deck a value.
When being attacked take the highest value attacking creature and check for any of your creatures that can block it without dying.
If you find any, then do so and repeat the process for the next highest attacking creature.
After doing this for all creatures that you can safely block check if there are any creatures still unblocked.
If so and you still have unused creatures, evalute the value of your lowest value creature that can block against the damage done by the highest value creature, and if it would kill the attacker, against that cards value as well.
If you only have a few cards remaining and your opponent has more, always attack as being the first to run out of cards is instant defeat.
Vis versa if your opponent has very few cards left and you have more, and both of you have a large amount of health you could try always defending, but this is less relaible.
If you draw a hand with no lands consider muliganing

Advice for the knights
Dont gain life if your opponent has punishing fire in their graveyard. the damage they can do to your creatures is probably not worth it.
Dont play Selesnya Sanctuary if you are short on mana for this turn as it costs you a land and comes into play tapped.
Preferably play Selesnya Sanctuary after Serjiri Steppe in order to get the advatages of playing Sejiri Steppe multiple times
If you get both try to play the knight exemplar after the juniper order ranger to get it an extra +1 and never use it to block or attack. It is simply to useful to risk losing.
If you have mighty leap, and your opponent has a high damage flying creature, leave something big of your own untapped and if attacked cast mighty leap on it to kill the high damage creature.
Play agressively unless you have spidersilk armor as due to having so many flying creatures the dragon player will often be able to hit you while keeping themselves from taking damage.
If you do have spidersilk armor, play defencively and only attack if you still have enough to block all your opponents creatures and will not take lose your attacking creature without taking one of theirs. (having the knight exemplar or attacking with the silver knight is a good way to ensure this, as is using Sejiri Steppe
Check the behavoiur of your program very carefull. The knights should usually win this even if they don't play very well as they are significantly stronger. You don't want to be losing turns to illegal moves.
In particular, make sure nothing attempts to block flying creatures unless you are sure that it can.
You definitely have enough mana to cast what you are attempting, (remember some lands come into play tapped or remove others, and grasslands dont give any mana directly)
Make sure that when you are not in your main phase you only play instants.

Advice for the dragons
Play very agressively. The knights will almost certainly win this in the long run so you need to try to do as much damage with flying creatures as possible early.
Always deal damage to your opponents creatures unless it will win you the game. save cards that can do a large amount of damage for high value targets such as the knight exemplar.
Never attack with the bloodmark mentor, unless your opponent has no creatures out and does not have enough mana to cast reciprocate.
Save the Bogardan rager until your opponent is attacking and you can use it to kill a high value target of theirs.
Dont play as the dragons.

That's all I could come up with so far but I might think of some more stuff later.
Hope it goes well.