They intend to use an adapted version of the procedure used in cases when a Wardstone needed to be moved outwards. Given the location of the fort whose Wardstone they intend to commandeer (she points at one in the far northeast corner), they will be able to send it downriver for much of the journey. She intends to contact Irrisen about potential use of mastodons in pulling it overland for the remainder of the journey (although Irrisen's forces largely communicate very little with the rest of the Worldwound's defenders, they will in fact hear a request from the queen of Mendev), but if that doesn't work it should still be possible to use oxen, just somewhat slower. The Wardstone will of course need to be under heavy guard throughout the journey, though it will be somewhat effective at repelling demonic assaults on the way. In the intervening time between the capture of Drezen and the relocation of the Wardstone, they hope to make use of the Sword of Valor, which their latest intelligence indicates is still within Drezen, to block teleportation by demons into the area.
The projected funding available from Mendev is adequate in principle to pay, feed, and supply the forces she's brought with her to Kenabres, and to cover the projected costs associated with transporting the Wardstone. If he can't secure external funding and/or a steady supply of loot, it is probably not sufficient to cover much in the way of additional forces, non-consumeable magic items, high-circle spellcasting services, et cetera. (Compared to a Chelish fort, they're saving a lot of money on healing and on transporting more troops to replace the dead; with healing channels, just about anyone who lives to the end of a battle will live.)
On previous crusades, she generally handled disciplinary matters by making it clear to her soldiers which matters she might treat as serious even on a first offense, and then applying discretion about which cases to actually discipline people for (as a straightforward example, a Sarenrite providing spiritual counseling to a condemned demon cultist might technically be committing a crime insofar as their efforts could be construed as aiding the cultist, but it would plainly be absurd to try them for it). ...She is not a theologian, and it is possible, now that she considers it, that this approach is somewhat dependent on the fact that she is the Queen, or the fact that she thinks of this as just the way that laws work rather than as a bizarre diversion from the sorts of legal code popular in Taldor and its former holdings. She has not read the Lastwall disciplinary handbook herself, and in Mendev it has a bit of a reputation for being shockingly harsh in some respects, but she would not expect it to pose problems with regards to Law if he communicates his policy in advance. She expects that Inquisitor Hawkblade has a copy.
In principle, he can dismiss any of his advisors for any reason or no reason at all, though in many cases he would be obligated to ensure they have an escort back to Nerosyan. In practice, it would be deeply politically awkward to dismiss nearly any of them; the standard procedure for avoiding that is to reassign them as an advisor on some other topic, ideally one with some connection to their skills or interests (though not necessarily one particularly important to the Crusade), and ensure that whoever he appoints to replace them is officially advising him on a related topic to the one the original advisor was advising him about but not literally the exact same topic.
The relic horn is insured while it remains outside the Wardstone line, but Abadarans tend to charge unaffordable rates to insure anything during excursions inside the Worldwound. As with the other signatories, she was waiting until after she knew whether he was willing to serve as Knight-Commander before informing them. The fastest method she has access to for contacting the Fiducia is burning a charge from the wand of Sending, though there's a one-word code to confirm that a Sending to him was sent at her behest.