yes,
your sewer is 4'', that is your table 7-5
couple things you need to consider, normally, in a old house, if we need to rod the sewer,and we have no cleanout
we go on the roof and rod straight down.
if, you offset your vents to the back of the house.
which is common place on custom homes, all vents to the back
you need to add cleanouts in the house,
also need to be aware, a sewer is very humid, the inside of the pipe sweats. the vent pipe MUST pitch back twards the fixture
so that the condensation can drain
also, plastic pipe SHALL be supported every 4'