Jasmine is definitely a little boy. That’s the best combination. Two males can make a closely bonded pair without having to worry about accidental breeding.
As mentioned above, you should always keep new birds in quarantine. It’s not too late to start, but you’ll need a separate cage. It’s always good to have a spare cage anyway, for a hospital cage.
How large is the cage you have them in? I can see from the style of the roof, that it’s probably not real large. It might be nice to get a bigger flight cage, and keep that one as a spare. More room will make the birds happier in the long term, and less likely to bicker. Even a close pair can have little arguments, and the more room they have, they will do it less.