Polycarbonate will not yellow or become brittle if the manufacturer used an appropriate UV inhibitor in the fabrication of the material. However if the polycarbonate doesn't have a UV inhibitor then it will yellow and become brittle in as little as a year or so depending on UV exposure.
Polycarbonate will scratch much easier than glass - even polycarbonate with a scratch resistant coating will scratch.
A few other things that you might want to consider before building your own IG units:
The primary advantage of a modern IG (dual or triple pane) window is the ability to include LowE coating and argon gas fill in the unit. A dual pane IG made with clear glass and air infill has very similar energy performance numbers to a single pane with storm window. It is the add ons that increase the energy performance.
A sheet of 1/8" polycarbonate is about 10% less energy efficient than a single sheet of 1/8" glass. A sheet of 1/8" polycarbonate is about half as good a sound blocker as 1/8" glass, if that is an issue at all. You would need 1/4" polycarbonate to block the same level of sound energy as you would with 1/8" glass.
Additionally, IG units are manufactured with a desiccant between the lites to absorb any excess moisture that may be present in the airspace from the time the unit was manufactured. These IG's are also manufactured using sealant systems that keep moisture out of the space between the lites. If moisture is present between the lites, then the units will have condensation issues when the air temperature in the space goes below the dew point. Adding the desiccant dries up the air in the space significantly lowering the dew point temperature.
I am curious why you are thinking polycarbonate and not glass?