Didn't JJ Abrams say that no one will make Kirk marry and settle down? He made it sound like they have no plans for a stable romantic plot for him, Admittedly it was an interview for playboy but he seemed confident Kirk the womanizer is something they don't want to get rid of (I might disagree with him but hey..) but then never trust JJ too much...
as for a pregnant Carol.. IDK this is another reality
The writers always say that they want to harmonize with canon and have some major differences. Who knows, if they follow the pattern they sort of have created between K/S then Spock might be the one having a kid in this reality

If you notice they sort of switched their roles. S/U was a nod to the Kirk/Uhura kiss that they took to another level and made an actual pair (in context in the 60s the K/U kiss alone was progressive even if forced. Nowadays S/U is progressive and "iconic" precisely because it's an actual interracial pair with a character like Spock. A dynamic like the K/U one from tos wouldn't be iconic or progressive today - it would actually be pretty insulting)
In the other reality Pike was supposed to be Spock's mentor while in this reality they made him more Kirk's mentor and father surrogate than Spock's.
but anyway maybe we're giving too much credit to them
Even if they have a Kirk/Carol romance it doesn't have to be a big deal or for the sake of killing her to give Kirk manpain.
They might even toy with some flirting and then in the very end of the trilogy imply that they will get together. In short a will they won't they sort of dynamic.
I still think though that her character (borrowing spock words) is completely redundant, if her purpose really is to serve as Kirk's love interest or female friend. I already have S/U and the Kirk/Uhura friendship plus the Kirk/Spock, Kirk/Bones and Kirk/Scotty friendships. All the spots are filled.
The only good addiction Carol provides is being another more prominent female character beside Uhura but other than that she will inevitably take screentime that could have been otherwise used for the existing secondary characters that are already undeveloped and underutilized.
But then people seem to think that only Uhura getting more screentime means taking it away from Bones&Co.. so..
One good thing about a Kirk/Marcus relationship is that it would (or at least, should) put a definite end to the Spock/Uhura/Kirk love triangle that was set up in the 2009 movie and which has, in my opinion, run its course. While I do think Uhura has more feelings for Kirk now than she did in the first movie and were she and Spock to break up I believe it's not unlikely that she could get with Kirk (if he should be single), I think that would be a bad direction to go and a Kirk/Marcus relationship would be far better and more interesting (and certainly far less soap opera-ish). Personally, I believe that in some timeline Kirk should have a happy ending and I'm rooting for it to be in this alternate reality.
I never saw a triangle between kirk/spock/uhura
Kirk liked her in the first movie but it wasn't serious and definitely as soon as he saw that she was with Spock he always respected it.
I might even say that he actually supports their relationship, he's definitely friend of both (also implied in the comics)
As for Uhura, yes she likes him more now and they are friends but this doesn't mean she's interested about him romantically.
Some people think that they're simply playing the Harry Potter formula: two male characters + a female one. Great friendship between them all, one romantic subplot between the friends of the hero.