Hi,
There isn't really any more to show; "Standard Circuits 3 and 4" (page 8) are similar, just change the 5v to 12 volts, but only on the Relay; the PICaxe rail must remain at 3 - 5 volts. I can't give any more indication of pin numbers as you haven't named your PICaxe version.
I don't know what you mean by "relay is 30Am and the coil draws 360 mAM", but a coil resistance of 30 ohms and current of 360 mA (milli Amps) seems very high (4 watts at 12 volts). That would need a better transistor, perhaps a BC337 with the 1k resistor reduced to ~220 ohms, but the 2N7000 might be sufficient, or the BCX38C from the manual, etc.. However, the "Output Device 11 - Solenoid & Solenoid Valves" on page 24 may be more appropriate (again changed to 12 v) for that current. What components do you have available?
Cheers, Alan.