  This is the third sequel in a series discussing the discovery of various
types of extragalactic transients with the {\it James Webb Space Telescope} in
a narrow-field ($\sim 0.1$ deg$^2$), moderately deep ($m_{AB} \sim 27$ mag)
survey. In this part we focus on the detectability and observational
characteristics of Direct Collapse Black Holes (DCBH) and Tidal Disruption
Events (TDE) around them. We use existing models for DCBH accretion
luminosities and spectra as well as for TDE light curves, and find that
accreting DCBH seeds may be bright enough for detection up to $z \sim 7$ with
JWST NIRCam imaging, TDEs of massive ($M \gtrsim 50$ Msol) stars around them
can enhance the chance for discovering them as transient objects, although the
rates of such events is low, a few per survey time. TDEs around non-accreting
black holes of $M \sim 10^6$ Msol may also be detected at $z < 7$ redshifts in
the redder NIRCam bands between 3 and 5 microns. It is also shown that
accreting DCBHs appear separate from supernovae (SNe) on the NIRCam color-color
plot, but TDEs from quiescent black holes fall in nearly the same color range
as Superluminous Supernovae (SLSNe), which makes them more difficult to
identify.
