No-name brand capacitors are no good. Using electrolyte or tantalum one's for recapping is a personal choice, however when they fall off there's no doubt that the job is not well done.
I suggest you immediately stop using the board and send it to someone to recap properly ( like Uniserver ) before you damage it beyond repair.
The problem with the ADB port can be related to the capacitors as it needs the +5v line or the ADB socket can have loose contacts.