This is my first experience with an aloe vera plant. Like most at first I was overwatering but I have since pulled back and switched to a good draining soil. It was in low light and the temperature in my apartment has been unseasonably cold. I see some issues with my leaves that I'm not sure is related to over-watering or some form of rot and I just want to know should I try to save it or start over. I brought a grow light.

It looks totally worth saving, and the first step would be to remove all the soil that is covering the base of the leaves. No part of any leaf should be below soil level. Otherwise when that soil gets wet, it will tend to promote rot in the base of the leaf, which can creep into the stem and cause the plant to melt down.

Can you provide natural light? A spot right in front of a southerly facing window would be ideal. Try not to water too often. I would recommend watering well (until water comes out the holes in the bottom) and then waiting until the soil is dry or nearly dry at depth (not just at the surface, which tends to dry out much sooner). Strong light and warm temps will help with the watering because they will tend to promote evaporation.

I brought a grow light because I do not get very good light. The temperatures in New York have been unseasonably cold. I moved the plant away from the window and just have a glow light on a lamp above.

give it the best light you can. If the weather improves put it back in the window and you could even put the grow light on it there to supplement what daylight you have .

You may know this all already but you should have fast draining soil and a container with a drain hole at the bottom. It is better to pot the plants so that the base of the plant is level with the top of the pot. Don't need to do too much as once though . Do one thing at a time and monitor the results.

When watering give it a good soaking but let the soil almost dry out completely before you water again. if your light levels are low and your apartment is cold you need to be very careful not to overwater . They are tough plants but don't like prolonged cold and wet conditions. Keep us updated
and good luck
Steve

What ever is going on has gotten worst. Maybe someone can diagnose.




And the leaves are very weak and the last one pulled off easily

hi
Its a bit hard to tell from your pic . Does your last photo show the base of the leave as brown or the tip? If its the base and the stem (bottom of the plant) is soft and mushy , then you most likely have a rot problem. If it has progressed up the stem to the base of the leaves then there may be little you can do other than removing the plant and taking quite drastic action to cut out the rot. let us know
Steve