Well the schematic may have been written with the intent to use that relay but it does not actually reference the pin numbers on the relay pin out. It does however clearly identify the three terminals of the contacts,(common,NO,NC).
The coil is clearly shown as a coil so you have to understand that the symbol that looks like the spring inside a ball point pen is the schematic symbol for a relay coil , which is shown on the schematic with the same symbol next to two parallel lines which represent the core (you can ignore those). You need to wire the circuit as it is shown and your pinout list which you show pins 4 and 5 as "un-named" showed be edited to reflect the pin names as Coil-pin-1 , and Coil-pin-2. It can be connected either way as far as polarity is concerned. It doesn't care which of the coil pins is connected to +V and which is GND. The polarity is not important.
That should answer your question.