It sounds like there might be more going here:
It is not his responsibility to produce "showings";
the fact that it is Listed on the MLS should produce Buyers and their Agents.
It really sounds like everyone is a little un-enthusiastic about showing your house, and I would bet that the LISTING PRICE is too high: In fact, from here, I can see that it is too high; the proof is in the pudding, and I hope you realize and accept this.
Him taking a month off is not going a bit of difference; other Realtors should want to bring their Clients with offers.
Have you had him do a CMA to determine the Market Value, and did you listen?
Do it again!
You will still have Buyers asking "why the price drop?" and "what's wrong with it?" but you can't change that now.
Good luck and may God bless