Build Management is managing the issue fixture tasks in the 
bulds whereas Release Managment is managing the 
functionality to be incorporated in the Release.

2. Build Verification Test(BVT)is done when the build is 
first received by the testers. The basic functionality is 
checked with valid data. This is done to check whether the 
build is testable or not. This is done by testers.

End to End testing is also called system testing. Done by 
Senior test engineers or Test lead.

1.Build Mngt is something that  deals with the delivery of 
the (application)build.Build delivery dates,bug fixes and 
subsequent delivery.
Release Mngt deals with the whole delivery process,starting 
from requirement gathering to going live.It deals with the 
cut off dates.
2.Build verification test is done by testers,not necessarly 
done by leads or Sr.Testers.End to End testing is testing 
the complete flow of the application.Eg.If there is a 
application with different modules,where the data flows 
from one module to other,testing the flow of data from one 
module to other is called E2E testing.
Again each module is tested indepentently.