1) Please check is there any security restriction on your home node . Go to web database --> content editor and click on Home node --> click on security tab --> click access viewer and see the home node is assign to default\Anonymous
2) Check in Web database Home node --> click presentation details -> final layout --> there is any layout path is properly navigate to Layouts/Sample Layout .
3)See in your log while loading home page in CD there is any error is showing or not .
4) Recheck your connection string for core, web db are they pointing to correct DB ? Check while publishing to web is there any workflow stage is applied before publish an item .