Pin 1 is the one on the top LHS corner (nearest the indented circle).

But in the photo, the circle is on the bottom LHS. So does the circle indicate pin 1 or pin 8?

Don't forget to do your Ohm's law calculation on the 555's max. output current (200mA) vs. the coil resistance of your chosen relay

The relay I have chosen is part number 275-0241. Its specifications are here. Will that work?

Note that my supply voltage for everything is 12vdc.