Can you use decoupage paper for scrapbooking?

to cut very straighly and to trim pictures and paper to fi in a desired area

You can use any type of paper using your cricut. Several things you should take into consideration .. 1- construction paper is very fibrous. it will leave paper fibers on your mat, thereby shortening...

to draw or write stuff down etc.

yes sometimes you can sometimes depends how thick the lines are

you can use any kind of paper from note book parer to magazine paper