The first two indies who approach Shanghai enclave at lunch are not terribly bright; they're not going to ally with them. Still, they might be useful trade partners, so she sets them off to figure out whether any freshmen have larger rooms than would otherwise be expected, in order to figure out whether Song Lan was successfully inducted or died on the way to the cafeteria. She gave it to both of them so she knows to investigate more thoroughly if they give different answers.
The third is cleverer, so she gives her a real task-- finding someone to do Wen Qing's homework for her in the classes she's skipping to do shifts at the infirmary. Of course, if she fails, Wen Qing is at no risk of having her homework undone; she made sure she shared every class in her schedule with a Shanghai ally. But it will be useful to see if the girl succeeds, or alternately if she communicates clearly and promptly about her failure (a skill that Wen Qing finds if anything more valuable).
Lan Xichen wants to ally with Julian, of course, because he wants to give his sworn brother a romantic present of useful infrastructure when they graduate. Julian's certainly smart enough. But Wen Qing has no intention of committing this early on, especially since Shanghai has already gambled on Masozi.