"Spot" just means that the rate starts on the "spot" date. This means that a swap rate can be spot, as well as fwd. Conversely, spot rate doesn't necessarily have to refer to "swap". For example, simple bond yield is a "spot rate". Swap is just the particular instrument, whereas "spot" and "fwd" denote the instrument's effective date.
Dude(tte), I have responded to your question already. The 2nd swap rate is "a spot rate", but it may not be "the spot rate" you're looking for. To understand if it's the right rate you need to reread the problem and/or provide more context.