

Does this oven need replacing, or would repairs be sufficient?
There have been a series of malfunctions with our apartment stove. I'm going to be contacting the landlord, and I'd like to get an idea as to whether the entire stove needs replacing or if repairs would be sufficient. I wouldn't want the landlord to merely send someone for repairs, at the risk of an apartment fire in days, weeks, or months afterwards, if more malfunctions can be expected due to its age. I don't know much at all about stove or electrical. I'm coming here because I know many landlords opt out of necessary replacements for short-term financial gain, at the expense of tenant safety.
The series of events goes as follows, in order:
About four months ago, the cooktop light bulb wouldn't turn off, even when all elements were off. It's been on for four months straight. No big deal, right?
About two weeks ago I had heard some odd clicking behind/in the control panel, which I hadn't ever heard before with this stove. If I recall correctly, it had been mostly on the right side, maybe with a little bit on the left or center as well. I don't remember if this clicking had only happened while one of the burners was on or afterwards or both. This clicking persisted for 3-5 days, here and there (not always with the same element on, unless i'm mistaken). As far as I remember, the clicking might have been happening one day and then not the next day, and then again the following day. It could have been somewhat random.
If I recall correctly, the clicking had stopped, and a few days later I had placed a pot on the large front-left element and turned the knob to maybe an 8, 9 or max. Not unusual. About 10 seconds after turning it on with the pot on the element, there was an incredibly bright flash, which I've since learned might be called an arc flash due to short circuiting, followed immediately by a small flame. I had turned off the element instantly and removed the pot. The flame stopped.
Now, I don't think that there was anything stuck to the bottom of the pot or anything between the element and the pot, such as food. I didn't notice anything after inspection. As pictured, the element itself has corroded or combusted, or however you might refer to that. How do you refer to that, by the way?
Next, a few days after that, I had a kettle on the back right large burner with the knob set to 9 or max. This is how I've gone about it for the past three years of living here, so once again nothing out of the ordinary there. After the water had boiled, I removed the kettle. I turned off the knob, only to find that the burner, the element, stayed at the consistent really bright red-orange and the consistent heat of being on high. It wasn't lessening, and it wasn't stopping. The element wasn't turning off. I turned the knob back on and off again a few times to no avail until eventually that did work, but the element had stayed on for about 30-45 seconds on its own.
I'm concerned that this oven might be getting old and that it just needs a replacement. Though maybe repairs are sufficient. I'd love some advice.
Too, if anyone wants to educate me on some of the processes here, meaning what's happening and how these things go about happening and the fixes needed, I'd be grateful, as that would make it easier for me to communicate the processes further in the future, as well as have a better understanding as to how to fix this on my own (if I were to ever move into my own house) or what requests to make in the future. Thanks!