Some people reflow circuit boards in a domestic oven. There's a lot of information returned for Google search string "motherboard oven". Example: http://www.computerrepairtips.net/how-to-reflow-a-laptop-motherboard/
Perhaps one of the wires inside your cable has broken and so it only connects when held in the appropriate positions. I don't see how a long connector plug could impede the connection. I thought they were just to enable use by people with cases on their phones/tablets that prevent a shorter plug from making a good connection.
I haven't but I did notice this mentioned recently in another thread so I intend to try it. Annoyingly, I'm going to have to observe the reset manually because the uptime counter doesn't reset unless the reboot is normal.
Actually there are many different cards by each manufacturer for all their capacities, even for cards of the same class/speed so you don't know whether you have the same card unless you give the part/model number.
I can't help with the charging but regarding the time issue, have you tried editing system/etc/gps.conf per this post and the post below it: http://www.modaco.com/topic/373796-misreported-time-and-other-things/page-2#entry2249538
Mine is also not due to 4OD. Or at least, uninstalling 4OD did not fix it. Perhaps there is a program we could use to list all programs installed on the tablet and then we can all share those lists and see what, if anything, we have in common.
Edit: I found such an app; List My Apps.
Here's my list of apps. http://pastebin.com/aWXaQQqw - if enough people are affected then maybe one of them will know a smart way to compare the lists automatically. No-one should attempt to do it manually.
I have a bug which may be the one you're describing. Here's a screenshot of the problem. Note that total space is ~9 GB and that 4 GB are free, yet 36 GB are taken up by apps. Uninstalling 4OD did not fix it but unmounting the microSD card does! Remounting screws it up again :/ It may be relevant that I'm using a Samsung 64 GB card, model number MB-MGCGBFFP.