So…the first thing you need to understand is that there are different types of sewing machines, as someone commented on your original post. There are:
“Regular” sewing machines, which can be either mechanical or computerized. These are the type of machines virtually all hobbyists use and can handle a huge range of projects, from linen napkins to ballgowns. It’s important to note that either the computer or the mechanical system determines stitch length and width.
Serging machines, which cut the fabric while sewing it, and make a single specialized stitch.
Embroidery machines. These are similar to “regular” sewing machines, but with a wider table and extra parts for stretching out the area you’re embroidering. They also have a computer to track/calculate the stitches in a given embroidered image.
As far as I’m aware, software is only available for embroidery machines. The computers in anything less than the most expensive of home sewing machines are pretty simple, and I’m not even sure how you would access them. They don’t connect to wifi, and there are no ports in the machines except for power and the foot pedal.
For the use cases you listed, I recommend a basic “regular” sewing machine such as this one. Any regular sewing machine built in the past several decades will be able to use a variety of stitches out of the box.
For repairing socks specifically, I agree with the other poster who talked about zigzag and stretch stitches.