re: Planer Table/Cabinet

S**t happens.
Sorry for you.
About the thickness of the drawer bottom the main factor in addition of the size is the weight: what are you going to put in them?
They do not necessarily need to be all the same.
If some are shallower, you will have less weight= thinner bottoms
In general I make the bottom ones deeper for heavy stuff= routers/hammers/pry bars and so on.Then the bottoms could be 1/2"