It would help a lot if you could first identify the cause of the unsharpness without jumping to conclusions.
1. Are images produced by the camera sharp if you manually focus? If yes, the lens is fine and the camera is at least capable of producing sharp images.
2. If your subject is blurry when manually focussing, is some part of the picture in focus? If yes, at least the camera/lens combo is capable of producing sharp images.
3. If you use autofocus with spot focussing on your subject, is your subject sharp and in focus? If yes, nothing seems wrong with the camera.
4. If no under 3 above, is the plane of focus slightly in front or behind the subject? If yes, try tweaking a bit with AF Micro Adjustment: https://www.sony.com/electronics/support/articles/00018531
5. What aperture value are you using? Because you say that lighting is bad, likely you're using a large aperture. This gives a very thin depth of field, so only a very small part of your subject will be in focus.
6. Have you disabled steadyshot on your camera/lens? Since you're shooting off a tripod, you should disable steadyshot or it might cause some unwanted motion blur.
7. ... I'm sure others can chime in with more possible causes for your problem.
Some general comments:
Yes, could very well be, especially combined with poor lighting. See #5 above.
Not at all, unless your A77ii is defective. Especially for online images, the A77ii should be plenty sharp. Thr A7R-line is overkill for your needs.
Not at all. If anything, you should be using single spot focussing anyway. But why use autofocus? Your subject is still, your camera is still, perfect use case for manual focussing, where you have full control over the plane of focus.
Not to sound condescending, but I'm quite confident there's a share of user error in your blurry photos. Definately first rule this out before making unneccesary purchases.
Unless you're heavily invested in A-mount glass or you can get the A99ii very cheap, I would not invest in the (EOL) A-mount system. Better get a used A7iii if your budget is tight.
Good luck!