  Antiferromagnetic (AFM) order and a spatial order peculiar to
Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states, previously indicated in the
quasi two-dimensional d-wave superconductors CeCoIn_5 with strong paramagnetic
pair breaking (PPB) in a magnetic-field parallel to the basal plane, are
considered in the field configurations tilted from the basal plane within an
approach assuming that the wavelength of the FFLO modulation is relatively
long. It is demonstrated that, with increasing the tilt angle, both the AFM and
FFLO orders are gradually suppressed, and that disappearance of the AFM order
in zero temperature limit occurs at a lower angle than that of the FFLO state.
Consequently, a nonmagnetic FFLO-ordered high field SC phase is realized in an
intermediate range of the tilt angle even at low enough temperatures. As the
perpendicular field configuration (${\bf H} \parallel c$) is approached by the
field-tilt, the AFM order in real space is found close to the FFLO nodal planes
in contrast to the high field behavior in ${\bf H} \perp c$ case. Further, in
the field v.s. temperature (H-T) phase diagram, the AFM order reduces, at a
higher angle, to an AFM quantum critical point (QCP) lying at a lower field
than H_{c2}(0) as a consequence of competition between the field dependences of
the nesting condition and of PPB. These features of the AFM order and the
resulting H-T phase diagram strikingly coincide with those seen in a recent NMR
measurement on CeCoIn_5 in tilted field configurations.
