I hardly can see how self-learning something else (eg. SQL) will help you much in your case right now. No, I am not saying you shouldn't learn something else, people should learn all their lifes... I'm saying it from "will it make you more employable" position.
Looks like you just got a degree in IT and no much experience (apart, may be, of some work-placement).
At your place, I would concentrate most of my time on finding the first job in industry. The companies, who employ graduates, have very good idea of what they get. At this point they aren't looking much for experiences as such, but for bright people who can demonstrate willing and ability to learn. And, in my humble opinion, the Uni degree is kind of Certificate which officially certifies you as a person capable of learning - nothing more than that!
There is nothing better than learning (eg. SQL) from undertaking a real life task, which is, hopefully, also brings you some wages. So far you've paid your own (or loaned) money to learn, now - ALES: you should be paid to do the same!
Good luck with job hunt!
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