Dr. Ingryd Lorenzana, OD

This is a complex answer. For the most complete answer I have put together a YouTube video that you can watch here:

What every parent should know about myopia:
https://www.youtube.com/watch?v=8gfeDOxsnOI&t=18s

Based on todays research, once you develop nearsightedness, it can only be managed and work towards preventing further progression. First line approach is to exercise every possible route for prevention(limit digital devices, outdoor activities, supplements) once developed, then use management approaches to slow down progression: these include low dose atropine drops at bed time, Misight FDA approved contact lenses for myopia management and hard lenses used during the nigh time that reshape the eye for clear vision during the day referred to as Orthokeratology.

This question requires further clarification because there are 2 major components in computer glasses: 1) commonly a "blue" tint filter to block out harmful blue light effect and the other is 2) a slight added magnification to enlarge print or near items for easier viewing.
If your computer glasses ONLY have the first component you can chose to wear them all the time for lighting comfort.
However, if your computer glasses also have the added magnification component to see near targets easier, you may ONLY wear them for near visual tasks as the added magnification would make your distance vision blurry and not appropriate for driving or distance task.

Therefore the answer to your question is: it depends on the components that make up the computer glasses!

Yes. Actually, polarized sunglasses over the contact lenses will enhance daytime vision, while protecting eyes from sun and wind to prevent dryness!

Under normal circumstances, eyes should be able to tolerate contact lenses. You must have an thorough evaluation to see what other circumstances may be contributing to your eyes being overly sensitive (dry eyes, anxiety, etc)