Hello shayleykay: I see this is your first post here on PC. So... welcome to PsychCentral... from the Skeezyks!

May you find the time you spend here to be of benefit.
Yes... I know exactly what you're talking about as far as jumping goes & also having the urge to stab yourself. (I also have the urge to stab other people!)

I'm an older person now. But I've had this for many years. I never go anywhere anymore where there would be the possibility of jumping. But in the past, when I used to, the urge was almost overwhelming. Sometimes it would become so difficult that I would become dizzy. The only thing that kept me from doing it was fear.
I still struggle with the stabbing urge any time I have a knife in my hands. I mentioned this urge to a nurse practitioner once years ago. She just blew it off as if it was nothing!

(It's definitely NOT nothing!) I simply tell myself that there is no way I would actually do anything like this... at least not to someone else. It's a bit more uncertain when it comes to myself.
I don't know where this comes from. I presume it has to do with anxiety & fear which I have always had a lot of. I've been on different psych med's over the years. (I no longer am.) None of them had any significant impact on any of this that I can recall. I do meditation (primarily of the walking variety.) This helps my overall anxiety level somewhat & I presume that has a beneficial effect on these sorts of urges. However, I also know the urges are still there. So meditation certainly is not a cure... at least in my case. I can't say if therapy would help. I saw a few therapists over the years. But none of them were worth the bother.
In conjunction with my walking meditation practice, I employ a Buddhist technique called "compassionate abiding". What this involves is allowing whatever I'm feeling to come forward in my mind. I "lean into" it, breathe with it, perhaps even smile to it. If there is a storyline attached to the thought, for example a difficult memory, once I've breathed into it few times, I drop the storyline & simply stay with the underlying emotion (anger, fear, etc.) I may even place my hand over my heart as a sign of lovingkindness & compassion toward the thought. It is like a misshapen little troll. But it has no power over me beyond what I cede it. I stay with the underlying emotion until it passes away of its own volition. I learned this technique from reading the writings of the Buddhist nun Pema Chödrön, although it is certainly not particular to her.
Anyway, this is what I know & have experienced with regard to the types of urges you mention. I send healing thoughts your way with the hope that you will be able to find deep peace within...