If possible, take a photo of what's in the expansion slot. It usually went unused on Classic IIs, and most who did utilize it used a math coprocessor card in that slot.

Classic IIs are extremely prone to bad caps. There were some going as early as 2002-2003 because of them, but few really thought to look into the capacitors at the time.

The Classic and Classic II boards are indeed small. This was part of Apple's cost-cutting measure with the Classic line.