Tiaral

No, I'm not arguing with the concept itself. A knightly order would be more difficult to roleplay and create. Therefore, unless Alex volunteers to create a real knightly order, with a code of honor and a higher purpose, let's stick to being mercenaries.

Okay, let's try to brainstorm now, because I'm already in a knightly order in real life and I have some idea of how to turn a motley crew into a team. If we don't come up with anything decent by tomorrow evening, we'll forget about it. Let's start, and help each other out.
What do we have, what can we build on:
1) Team composition. What is our core: decent citizens of Celia and the Republic, relatively cultured Vikings, and an ambitious Jagensdorfian. Most of them already have companions. The rest: a fan of the Nihonites, catgirls, and Deisian warriors. What can this give us:
We have a couple of Celian characters and a Jagensdorfian. Countries with traditions of knightly orders. What do we mean when we talk about knights and a knightly order in the context of the game? We have a leader, a master of the order, he has authority, he knows what we are doing and why, at least he tells us that and we believe him and follow him. Basically, Ples's character. His goals (approximately, I can't judge) are: to achieve power/success/high status/wealth. For this, he found a couple of people who are not averse to the ideas of chivalry, and he also recruited various adventurers and told them something like: "I accept you as honorary knights, and you are no longer just some riffraff, but members of a small but proud and promising order. This is very cool, you will have money, honor, and women, but only if you listen to me and follow my rules, understand? And we also have a Goal, which is also cool and very important. (Everyone says they understand, because everyone wants money, fame, and women.) Here are our rules:
Clear hierarchy. (We decide how the order is managed, we create a round table, and the leader is primarily an ideological inspirer, a symbol of the organization, and the one who gets more fame and money, or the leader is like a high-ranking military official and commands everyone else. In the first option, we have a knightly brotherhood, in the second, a semi-military organization).
Some kind of showy part. We must have a motto and a name. Something not too loud (without any dragons), but with ambition. Ment had something similar.
Actually, a code of honor. (We describe various things about internal order etiquette, principles, etc. We will probably do this in a brainstorming session together and last). There is one "but" in this point, which I will talk about later.
Goals. This is the most difficult thing. For starters, we definitely need:

In any case, wherever we are based, one of our goals will be to acquire our own territories.

This is very important, it raises our prestige. Prestige is an integral part of chivalry.
Next, we must gain recognition of our authority from major states. In fact, I take the option that our order arose at the beginning of the game, i.e., we met, we have a leader, and he tells us how to become normal people. So, for starters, we need to establish ourselves. For this, let's be pseudo-mercenaries for a while, so that we are noticed and they understand that we are cool guys who do the right things. We get money and fame, the leader's dreams begin to come true. When we already have a real order, the leader puts forward a new, global goal. For example, "now we are serious people. It's time for me to become a king, then everything will be even better for us" or "Now that we have become a real team of elite fighters, we will sail across the sea and gain fame and fortune, then we will live well!". In fact, this is what that "but" was about. We need to come up with our idea, the previous "goals" were just stages on the way to this idea (in the eyes of most ordinary people, of course), and this is what distinguishes us from a gang of mercenaries. Of course, the previous points also distinguish us, but this is also necessary. What we can come up with here will become clear from the next point.
2) We have a map, nations, data on conflicts, and we know about the ship. How do we turn this into an idea? Now I will write down all possible ideas in the hope of finding a suitable one, and I ask you to do the same.
1. We serve our country and lead it to victory and prosperity. This is not suitable due to the leader's personality and the heterogeneity of the order's members.
2. We serve the idea of world justice or something. This is not suitable because of our general unwillingness to quarrel with some vampires in the name of the prosperity of humanity and because most of the team and the leader are not too close to the ideas of selfless service to something.
3. We serve our leader personally, he lifted us out of the mud and made us knights, and we will rise even higher if he gets a title/land/something else. This is perfectly suited to our leader, and the idea of serving a feudal lord is generally suitable for knights. The question is what the tasks will be and how it will all be presented.
4. We are actually wandering knights at heart, craving glory, and our master is quite an adventurer. We participate in various risky ventures (see the ship) in the hope of gaining the same as in point 3, but also for everyone and much more. We sail into the unknown, return in triumph, we have honor and a lot of gold, which is what most people joined the order for in the first place. Our order proudly stands in the top 3 orders of Tiaral, we have achieved success, everything is great. And the idea was actually that we wanted to become pompous true knights from a gathering of vagrants, and now everything is as it should be. And the leader enjoys the acquired wealth and command of a full-fledged order, possibly even the first fully independent order on the continent.
5. We have some kind of ideological order, like the Grail Order. The Order of the Promised Land, for example. Well, this is a joke. I need detailed information about existing orders to develop this.

It turned out to be a bit chaotic, but this is just the beginning. Write down objections, and those who can - their ideas. I'll wake up tomorrow and continue.