  Carbon spectral features are ubiquitous in the ultraviolet (UV) and
far-infrared (FIR) spectra of galaxies in the epoch of reionization (EoR). We
probe the ionized carbon content of a blue compact dwarf galaxy Pox 186 using
the UV, optical, mid-infrared and FIR data taken with telescopes in space
(Hubble, Spitzer, Herschel) and on the ground (Gemini). This local
(z~0.0040705) galaxy is likely an analogue of EoR galaxies, as revealed by its
extreme FIR emission line ratio, [OIII] 88/[CII] 157 (>10). The UV spectra
reveal extreme CIII] 1907, 1909 emission with the strongest equivalent width
(EW) = 35.85 $\pm$ 0.73 \AA detected so far in the local (z~0) Universe, a
relatively strong CIV 1548, 1550 emission with EW = 7.95 $\pm$0.45\AA, but no
He II 1640 detection. Several scenarios are explored to explain the high EW of
carbon lines, including high effective temperature, high carbon-to-oxygen
ratio, slope and upper mass of top-heavy initial mass function, hard ionizing
radiation and in-homogeneous dust distribution. Both CIII] and CIV line
profiles are broadened with respect to the OIII] 1660 emission line. Each
emission line of CIV 1548, 1550 shows the most distinct double-peak structure
ever detected, which we model via two scenarios, firstly a double-peaked
profile that might emerge from resonant scattering and secondly, a single
nebular emission line along with a weaker interstellar absorption. The study
demonstrates that galaxies with extreme FIR emission line ratio may also show
extreme UV properties, hence paving a promising avenue of using FIR+UV in the
local (via HST+Herschel/SOFIA) and distant (via JWST+ALMA) Universe for
unveiling the mysteries of the EoR.
