Driving for 10 minutes is not enough to charge te battery.
A lead battery should aways be as full as possible, the plates go bad very soon is it is empty.
As lee Polowczuk said, get a charger and charge it to full capacity, at least overnight. Depending on the capacity of the charger it can take much longer.
Jumpstarting is a last option, it is bad for the battery and electronics. If you use good quality cables it can be dangerous to.

There are always power leaks, at least one if you have a clock.