Hey, firstly I know how hard it can be to balance full time work as a paralegal and applications! Sometimes its just so incredibly frustrating and you feel like the process is just not accommodating to those in full time work!
I think the things you need to consider are A) do you need to keep working to maintain income? B) Are there enough applications still open that you'd apply to to warrant resigning?
Its probably worth drawing up a list of applications you'd like to make, and see whether you feel as if you could complete them in evenings/weekends. It depends how busy your job is, but maybe starting an hour earlier each day to get some app writing done would be useful and build up quickly. I think that my gut instinct would be to say don't leave your current role, as it will give you sooo many talking points on your app/at interview and really show your motivation for law. However, I do completely empathize with the problem of having interviews/having to take time off work. Luckily my employer is really understanding and supportive, so have you tried speaking to yours? If you're a recent grad in a paralegal role they probably won't be entirely surprised you're looking for a TC.
Maybe select 2/3 apps you really want to make and work on those before/after work or sneak some time if you're having a quieter day. Like I said, I fully understand how difficult it can be balancing both, and I have definitely not made as many apps as I'd like because work is just so busy. In my case I have to keep working because I need the money, and I do really love it and its great experience. On the 3 months point, some may disagree with me but I think its not unusual to have only 3 months paralegalling - often they are temporary contract roles that are project based for a few months, companies like F-LEX etc have also increased the prevalence of grads in shorter term roles so I wouldnt necessarily worry about people looking down on you only being there 3 months.
I hope some of that is helpful! My gut would be to say stay and see if you can speak to your employer, as otherwise you might be in the same situation further down the line when wanting to take time off for VS. Good Luck and feel free to PM if you want to chat more about it!!