Should I quit my job to go on holiday? Probably a stupid question

I'm a full time student, and decided to get a weekend job to develop my CV and stuff.

I have been working at my new job for a month now. Every year me and my family go back to our home country and we try to go twice a year. We usually go for about 3 weeks. We have tickets booked to go in about 2 weeks time, so I handed in my "pre-booked" holidays form when I joined my job, and at first my manager said she would approve them. Today, however, a different manager said that they aren't allowed to give me these holidays (because the head-manager said so).

I asked if there was anyway I could get them at all (eg: work my hours before I go away or something) but she said they aren't allowed to give such a long holiday to newbies, or in fact, to anyone at Christmas time. She said I can either stay and work, or I could quit, and possibly join after I come back (if they have space for me).

I wouldn't mind staying while the rest of my family go, but we can't get a refund on the plane tickets, so it would be a huge waste of money. So I guess I should quit in that case? But the thing is, I feel like if my work has no space once I come back, or they just don't want to take me, and if I apply elsewhere, I will most likely lie about why I quit my old job, if I am asked during an interview, because saying I quit just to go on holiday sounds completely stupid. I don't think anyone would hire me if they hear that reason. I wouldn't hire me tbh. Also, for the job I had before this (call centre), I quit within 4 months because it was terrible. I actually like this job, but I feel like if I quit, then it'll look like I'm bad at committing to stuff, and give any future employers a bad impression of me. The job before that (unpaid) was in a charity shop (I loved it there), and I left after 6 months because I got my first paid job (the call centre). I'm trying to last somewhere, but it's not going too well : /

I'm just looking for advice on what to do, even though I'll probably end up quitting. The different manager said maybe it's best I quit, and then come back if they have space.