No, at least in the second example, I believe the original is true. I remember that adverbs of frequency (of which regularly appears to be one) are properly placed before the main verb in such instances (are regularly contacted). That one is a pretty clear-cut case.
The other, with the work still to be done, I'm not so sure of, but it seems to fall into the same pattern, doesn't it? If you accept the rule above, would not then the still placement be also correct in There is still work to be done, or perhaps it would be better as There is work still to be done, making to be done some sort of a main verb.