LGPL and New BSD licenses

I need some clarifications about LGPG and New BSD licenses.
By using QT free license (LGPL 2.1) I know I can distribute my program
as an executable and so as closed source. Am I right?
However I can only dynamically link the QT libraries used by my program.
Does it mean any user who executes my program has to download QT to
execute my program? Or can I distribute also the QT object files
required by my program?
If my program makes also use of other libraries under New BSD license,
what changes?

Thank You!