Usage of "to be done"

The following is a trasncript of the well-known recorded lecture by Prof. Michael Sandel of Harvard University:
"The only argument this painter makes is that the work was necessary to be done. But this is no good answer, because by the same rule, this painter may go through every house in Edinburgh and do what he thinks proper to be done without the landlord's consent, and give the same reason that the work was necessary and that house was the better for it." (Emphasis added.)

The cited portion starts at 43:36 here:


For easy reference, I'll number the sentences as follows:
(1) "The work was necessary to be done."
(2) "This painter may do what he thinks proper to be done without the landlord's consent."

Here're my questions:

Is (1) ungrammatical, grammatical but awkward, or natural?

How about (2)?

If you find (1) or (2) awkward or ungrammatical, how would you rewrite them?