Lumia 1020 :: WP 8.1 - Unable To Open Several Apps / Complete Downloads And Connect To Computer

A few months ago, I dropped my phone (the day before my case came in the mail, of course) and the screen went fuzzy, much like an old box tv for several minutes, then rebooted several times before catching up to itself. I'm not sure what on earth happened because of this drop, but since then I have had a huge amount of issues.

First- I cannot complete certain updates on my phone, including some system updates such as for "extras+info" and "Lumia Camera". I get the error code 80070539 on these failed updates, but I do not believe that is the real reason these apps will not update. One method I used to fix this was to make sure I accepted updated terms and conditions for Microsoft, which completed some updates, but I still have several left waiting.

Second- Several apps and processes just do not work at all. Example: settings>applications>photos+camera the screen begins to flip over to the photos+camera menu, then abruptly stops before returning to the applications menu. This exact scenario happens to several other processes throughout the phone, including the calendar app, adding new emails and accounts, etc.

Third- I cannot backup my phone. This is a major problem as I have an abundance of files that I desperately need on my phone, but whenever I attempt to backup my phone, it may make it up to 97% maximum before it says the backup failed. This is the primary reason I haven't attempted a hard reset yet, and I would prefer to avoid doing a hard reset unless we can manage to fix at least the backup issue.

Fourth- My computer will not recognize my phone. I am running a laptop with Windows 8.1, all my drivers are up-to-date, I've uninstalled/reinstalled drivers, etc. but the computer doesn't even recognize that I plug the phone in, even though my phone still charges at a normal rate. I have also tried different computers and different cables. Nothing has proven useful. There is not a place in my computer that I can find a trace of detection of my phone, not under devices/drives/anything.

I will try just about anything that doesn't involve losing all of my data.