I got her 5 weeks ago, and the heat mat was under the whole tank. I do think she was a little underweight, she was taking a while to shed and I tried to feed her multiple times just to see and she refused which I expected. The first red mark appeared about 1-2 weeks ago and I just thought it might be because she's having trouble shedding, I searched up scale rot but the results said that the under scales usually look red so I didn't think it was that. The second one appeared a day or less before she passed. My sister told me that when she was handling my snake she had her in her lap and she squished her a little bit. I'm not sure if that would've caused internal damage or anything but that was a day or two before she died. I can't think of anything else major that happened
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Okay, first of all, unfortunately some of this may be unpleasant to read, and I want to say that I don't want you to feel bad, I'm just throwing up some necessary information. We're all human and make mistakes, the important thing is that we do our best and when we do make mistakes we learn from them and don't repeat them.
Sorry to say, it sounds like she was slowly cooked. It's important to give snakes access to a relatively cool temperature. If they're constantly forced to endure high temperatures it will cause problems. We can survive in 40 degrees for a few hours, maybe a few days, but eventually at 40 degrees we will die. A constant 34 degrees will definitely at least have contributed, especially if your reading was slightly off. The skin lesions were likely low level burns/heat damage from chronic low level heat exposure.
A warm end/area of 34 degrees is great for Carpet Pythons and it's not too bad if the entire enclosure gets that warm for a short time during a hot day, but constant exposure to that temperature with no way to escape is very dangerous. Ideally, snakes will always have the option of accessing a temperature of around 25 degrees or less. It's not a big deal if this isn't available 24 hours per day every day, but it's absolutely essential for almost all species that they can get below around 30 for most of most days if they want to.
For future reference, don't handle snakes at all until they've settled in and have established a regular feeding pattern.
She was probably refusing to eat because she was too hot. At that temperature she would have struggled to properly digest the feed and it would have either poisoned her or forced her to regurgitate (instinctively knowing this will almost always make them refuse to eat in extreme conditions).
If you ever see a red mark like that it's either from some sort of physical or chemical injury, or (almost always) it's an indication that something is dangerously wrong with the environment and requires immediate correction.
I strongly recommend you do a fair bit more research before getting any more reptiles, and ideally find someone who is experienced keeping them who you can chat to frequently about what you're doing.
Sorry you've gone through this, plenty of lessons to be learned and hopefully not repeated.