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I put this in the advice section because I don’t think they are specifically covered by the rules. So we wanted some opinions.
1) Custom armors are all kinds of complicated. You're almost better off going the other way. Upgrading from +1 to +3 is easy to price and mithral is a flat fee. But otherwise it is whatever you think is most reasonable. I'd suggest that the rainment's price should be reverse engineered assuming it starts as a +1 breastplate rather than a normal breastplate with the special quality.
2) Technically, yes, I'd assume so.
3) Medium and Small creatures are assumed to need a five foot by five foot area in which they can fight without problems. Anything less than that would count as squeezing.
4) Flanking is gained because you are threatening a target that is being threatened by another person on the other side of them; the issue being that the target has to split attention. So if the flyer could attack someone, then they threaten them and thus provide half of the flanker's bonus.
Of course, the real answer is "the GM is always right".
case 1: this is something where the gm just has to make it up with himself
case 2: this is pretty much what happens when wizards enchant the door, but not the floor/ceiling/walls around the door ;) its an adventurers classic, if the door is more difficult to open then the floor or walls, you open the floor or walls ^^
case 3: this is completely up to the gm personally id say you should be able to flank by standing on the staircase as an exception from the usual rule (because it just makes sense and theirs no other way)
case 4: this sounds to me like the gm just really didnt want him to get flanked ^^
/edit
case 1-4
the GM is always right. if you disagree most gms like feedback AFTER the gamesession. Most unfair rulings are not unfair enough to be worth wasting gametime on
1. Subtract the price of a +1 chainmail from the soothsayer's raiment and replace it with the price of a +3 mithril breasplate. Done. Note that this is entirely custom; there are no rules for enhancing specific magic weapons or armor. Note also that some might view that having to wear a lesser armor is part of the tradeoff for the extra revelation and, thus, the overall price of an armor that lacks such a tradeoff should be increased more than simply the difference in armor quality. But that's the GM's purview.
Personally, I don't really get the pricing of the soothsayer's raiment compared to, say, the ring of revelation, whose revelation property is more expensive and has limitations that the armor doesn't have.
2. Is the door ten feet wide? If not, the wall would prevent the floor from being considered a horizontal surface in the entire area of effect, so the spell would work ("You must create the pit on a horizontal surface of sufficient size.") If the door is big enough to fit the width of the pit under it, and assuming that the door is the usual swinging type that doesn't actually block the floor, it should work.
3. Flanking rules make the most sense in a 2D or fairly open 3D environment. On a spiral staircase, the GM should use her judgment--are foes threatening from opposite sides of the player's "cube"?
4. If the stairs incline at 45 degrees, then an adjacent opponent would be 5 feet higher. Considering that being astride a horse is enough to get the higher ground bonus, the stairs should certainly be enough. If the stairs have a gentler slope, it may not be sufficient. Again, that's the GM's call, but stairs are generally considered one of the archetypical situations that would invoke higher ground advantage during, e.g., a sword duel.
the GM is always right. if you disagree most gms like feedback AFTER the gamesession. Most unfair rulings are not unfair enough to be worth wasting gametime on
Also this.
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Well I'm being fairly careful to try and not say which of these I am the GM for and which I am a player for, so I don't influence either way.
Besides the other guy that is GM tells me to ask questions like this here to get another opinion. And yes GM is right. We rarely argue once the GM has made a decision. Fairly often, players argue while the GM is making up his mind.
1) GM has not made up his mind. Decision to ask here.
2) GM said no, but is very unsure about any actual rules. No, the door is not 10' wide. We did not think of that. But I'm pretty sure you could turn it so that a corner of the 10' square would fit under the door and still give enough room to climb out the other side. I would have to trig that out to be sure, but I think so.
3) GM said yes flanking. Stairs are 5' wide but on a circular path no one has a full 'square' to stand on.
4) GM said no flanking, but afterward was not sure it was the correct decision for the future occurrences. Rise:Run ratio would be approx. 1:3 or in the ballpark of 20 degree climb.
Both ended up making no difference in this particular fights. No hit or misses were within only 1, 2, or even 3 points. They were all big hits or clear misses.
For stairs it can help if you just assume that only one person can fit on a five foot wide section of stairs regardless of how they fit on the overall 1" grid for the map. Otherwise you end up with weird placement and movement rules. Divide into wedge segments such that the middle line is one inch (five feet) long. Or never play in round buildings because of the headache. That's generally how I handle it.