My TG01 has just started to do exactly the same thing
I have to wiggle the USB charger vigorously in the jack just to get it to charge, and it always drops the connection halfway through syncing when connected to the copmuter
I'm thinking about opening it up and taking a closer look at the connector, I just want my TG01 back to normal again
Maybe I'll even try replacing the jack using some parts off ebay
depends if the jack looks loose
I'll open it up some-point this weekend and take a look for you onell...
Nexus 5 32GB