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Not sure that its a good idea to hook the panel directly to the batteries Alex even if it does have a built in diode the input voltage can still exceed 20v on a bright day, not good for the battery
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Not possible, especially with a 3 Watt panel which will deliver at best 150 milliamps. The batteries will hold the voltage down to a sane level. Even an 80 watt panel pushing 4 amps won't raise voltage levels much over 15 Volts when connected to a decent size battery.
BTW your 3 Watt panel will put back in around 1.3 amp hours per day (sun all day), not really worth the effort of connecting.