As you continue your progress north, you find that the going gets a bit easier by way of - as the further you get north - there is less and less Haradrim influence. It never decreases to zero, just from the clear majority to a significant minority, but a minority nonetheless.
So the settlements do become more Gondorian in culture and in apparent loyalty, judging by the banners of the mustering militias, and so there is just a degree of less constant pressure perhaps to avoid all authority figures so thoroughly, and no real sense of pursuit any longer.
In a couple days you are overtaken and passed by the Gondorian embassadorial detachment from Umbar. They are well outfitted for travel, well provisioned, and march with militaristic determination, discipline, and fitness. And so even though they are greater in number, perhaps fifty soldiers and several caravan wagons of what you figure must be civilian passengers - the families of the Gondorian personnel and likely the children's mother judging by the adornment of one of the carriages, you watch from a distance as they come and go.
By that time you are less than a week out from Pelargir. And so it is with relative ease that you all are able to cross into the city from which this all began, a bit more than a month ago.
OOC:
It sounded like the plan was to take them straight to Andireg, so that is the direction in which I will push the narrative, but it's not too late to get in a different course of action or retcon if there is anything else you wanted to do first.
The naval headquarters are a well known location to you all in Pelargir. Unfortunately it is far on the northern side of the waters from where you all enter the southern gate. But, so, while it is a hot and humid (summer is nearly here) walk through the dusty and at times smelly streets, you are able to reach them without trouble.
Really the only trouble you do face is once inside the headquarters, it is hard to make the clerk you find understand who you are or what it even is that you claim to be doing there, and so it is mildly difficult to convince them to summon Commander Andireg for you.
But finally you do convince the clerk, and they tell you that they will retrieve the Commander, if they can. And so it is that you find yourselves in a drawing room of some sort, and while it is austerely furnished with just wooden chairs and a table in the military fashion, you are all brought water, and a plate of bread and cheese.
You're left in there for more than an hour, a steward occasionally checking in on you. But at the end of that time, you hear footsteps coming down the hall at a running pace, the creaking and clattering of light leather raiments full of buckles and grommets, as that kinetic energy is brought to a stop and changes directions, and it is thusly that Andireg enters into the room, red faced and breathless, eyes wide with unbelieving, and he rasps, "
By the valar's heavenly voices...", and he swallows hard against his dry throat, and looks like he might collapse were it not for the support of the doorframe he stands in.