I've done the Auto, M, P, adjusting the aperture. THe 2 lenses that I have came with the camera and they are 18mm to 55mm IS II lens and the EF 75-300mm
Yes, but when shooting in M.... What aperture are you using? what shutter speed?
99% of the time, you will not notice any difference in images from the T5 vs the D3200. The Nikon has slightly higher resolution, but ultimately, that won't impact your images. A slight difference in cropping ability, and maybe you will notice if you print super large -- Like 20x30 inch prints. The bigger difference is that the Nikon has better dynamic range, but you will almost never notice that when shooting straight from camera jpegs. The better dynamic range is *sometimes* noticeable, when rescuing shadows and highlights in raw files that you post-process yourself.
Colors really come down to post-processing. Each camera brand uses slightly different "default" colors, but this is easily adjusted in post-processing, or can even be adjusted in the camera before you shoot.
Sharpness --- Really comes down to lenses. But most people can't even tell the difference in sharpness between a $5000 lens and a $100 lens -- The difference is in the eyes of experienced shooters, and when you pixel peep, and when you do extreme crops or blow up huge prints. A $100 kit lens is very capable of pretty sharp shots... If your shots are looking obviously soft or blurry, then its user error. And changing cameras won't fix user error.
You can't just put the camera on "M" setting. You need to understand how shutter speed interacts with camera shake and motion blur, to choose the appropriate shutter speed. Then you need to understand aperture and how it affects depth of field, to choose the appropriate depth of field for what you are trying to capture, while also understanding the impact on exposure. Then understanding how the interplay between aperture and shutter speed will affect your ISO, and find the right compromise that prevents your ISO from going too high. And that's how you get sharp shots with any camera and any lens.