  Commutative sets of Jucys-Murphyelements for affine braid groups of
$A^{(1)},B^{(1)},C^{(1)},D^{(1)}$ types were defined. Construction of
$R$-matrix representations of the affine braid group of type $C^{(1)}$ and its
distinguish commutative subgroup generated by the $C^{(1)}$-type Jucys--Murphy
elements are given. We describe a general method to produce flat connections
for the two-boundary quantum Knizhnik-Zamolodchikov equations as necessary
conditions for Sklyanin's type transfer matrix associated with the two-boundary
multicomponent Zamolodchikov algebra to be invariant under the action of the
$C^{(1)}$-type Jucys--Murphy elements. We specify our general construction to
the case of the Birman--Murakami--Wenzl algebras. As an application we suggest
a baxterization of the Dunkl--Cherednik elements $Y's$ in the double affine
Hecke algebra of type $A$.
