Hi Julia.
I'm not going to talk you out of the rabbit idea, but there are some points to consider:
As already said, rabbits are a long term commitment. Take your age, add 12 years, and try to picture where you're going to be then. Or get an older rabbit, but be careful to know why someone parts with it and that it's healthy.
I would recommend a good breeder who culls for charakter, beeing friendly to humans is not natural for rabbits, but a selektivly bred in trait. There are pet breeds that are better in that respect, but the bloodline is important too. Don't flinch at the price - one or two vet visits can cost you much more.
Also, be sure what to expect. Rabbits can be sweet, cudly pets, but also a nuissance reducing your furniture to splinters or cutting you up like Freddie Krueger
, you'll have to embrace any of this escapades
About beeing away for the weekend: Wouldn't worry about that if that doesn't change much in the rabbits routine, and whoever cares for it will give it some petting and so.
Imho, monitoring by you all the time isn't really necessary, but the point with rabbits is that they are prey animals - if something is wrong they hide it as long as they can. In nature showing weakness or pain means death by predators. That's why some people think their rabbits do fine under obviously bad circumstances, these people are ignorantant of the subtle signs.
So, if something goes wrong there sometimes is a short time to notice it and do something about it. But having that as the prime thought is like always looking for that car that could run you down the moment you leave your home. I don't do that, and it took me some time to realize that there is no point in beeing paranoid, I was after reading too much on the internet.
It's great that you think about all that and ask questions beforehand. Keep doing that, and maybe meet some rabbit owners and their bunnies, just to see if this is really the kind of animal you want. Imho many people have a something wrong conception about rabbits, in media they are almost always pictured wrong (what comes closest to a good movie in that respect is "watership down")