As you can see below , this cap is marked 8 + 8 uf. Does this indicate that it is a dual cap? There only seem to be two actual terminals, as you can see here , although there are also three lugs around the rim. Can anyone help me understand what this component is and what the terminals are?
Yes, it is a dual capacitor. One of the terminals is common between the two capacitors in the package. The case acts as the third terminal, but you will need to see the capacitor datasheet to find out which terminals are connected to which capacitors.