Choose whether the following sentences are parallel or not parallel. the colors in her art project included splotches of brown, patches where it was yellow, and green streaks everywhere. our favorite pastimes are spending time at the library, to ride around through the countryside, and huge banana splits to share. that tribe of native americans was famous for weaving rugs, shaping pottery, and designing turquoise jewelry.

The colors in her art project included splotches of brown, patches where it was yellow, and green streaks everywhere. This is a parallel.

Our favorite pastimes are spending time at the library, to ride around through the countryside, and huge banana splits to share.  This is not parallel

That tribe of Native Americans was famous for weaving rugs, shaping pottery, and designing turquoise jewelry. This is parallel

Parallel structure means that the items included in a list must be in the same form, in the first  case there are nouns and in the third case the list is on gerunds

absolutely it most certainly can.

cockroaches and rats often are a symbol for things that are disgusting or vile. though i don't know which play you are talking about, i hope this !