I recommend the "Weller" soldering stations!
high quality from germany!
I had almost the same problem with my phone. I sent it to a repair center and acording to their report, the circuit which is responsible for the monitoring of the charging process had a loose connection. Maybe because I dropped the phone a few tim...
yes if you have mouse and keyboard with bluetooth connectivity :)
mouse and keybard can you buy at every local electronic shop, the cable can only be ordered in the internet and you have to wait probably 1 month for it ;)...
mouse and keyboard connection is also working via bluetooth, only hdd connection could probably be a problem... :D