xy = Transpose[{xcord, ycord}]; SeedRandom[1]; ew = Round[ RandomReal[1, Length@edges], .01]; wam = SparseArray[Thread[edges -> ew], {12, 12}, Infinity]; WeightedAdjacencyGraph[wam, VertexCoordinates -> xy, PlotTheme -> "IndexLabeled", EdgeLabels -> "EdgeWeight", ImageSize -> Large, EdgeShapeFunction -> "CurvedEdge"] 

Update: Add the option

VertexStyle -> Directive[EdgeForm[{Thick, Blue}], LightBlue] 

to color the vertices, and the option

EdgeStyle -> Thread[(DirectedEdge @@@ edges) ->   Thread[{Thick, Arrowheads[{-Large, Large}] 

to style edges and add arrow heads at both ends of edges

To render the edges without arrow heads, remove Arrowheads[{-Large, Large}] from Directive[...] and either add the option DirectedEdges -> False or use EdgeShapeFunction -> "CurvedArc":

xy = Transpose[{xcord, ycord}]; SeedRandom[1]; ew = Round[ RandomReal[1, Length@edges], .01]; wam = SparseArray[Thread[edges -> ew], {12, 12}, Infinity]; WeightedAdjacencyGraph[wam, VertexCoordinates -> xy, PlotTheme -> "IndexLabeled", EdgeLabels -> "EdgeWeight", ImageSize -> Large, EdgeShapeFunction -> "CurvedEdge"] 

Update: Add the option

VertexStyle -> Directive[EdgeForm[{Thick, Blue}], LightBlue] 

to color the vertices, and the option

EdgeStyle -> Thread[(DirectedEdge @@@ edges) -> Thread[{Thick, Arrowheads[{-Large, Large}], ColorData["Rainbow"] /@ ew}]] 

to style edges and add arrow heads at both ends of edges

To render the edges without arrow heads, either (1) use EdgeShapeFunction -> "CurvedArc" or (2) add the option DirectedEdges -> False and replace (DirectedEdge @@@ edges) with (UndirectedEdge @@@ edges) in EdgeStyle -> ...:

xy = Transpose[{xcord, ycord}]; SeedRandom[1]; ew = Round[ RandomReal[1, Length@edges], .01]; wam = SparseArray[Thread[edges -> ew], {12, 12}, Infinity]; WeightedAdjacencyGraph[wam, VertexCoordinates -> xy, PlotTheme -> "IndexLabeled", EdgeLabels -> "EdgeWeight", ImageSize -> Large, EdgeShapeFunction -> "CurvedEdge"] 

xy = Transpose[{xcord, ycord}]; SeedRandom[1]; ew = Round[ RandomReal[1, Length@edges], .01]; wam = SparseArray[Thread[edges -> ew], {12, 12}, Infinity]; WeightedAdjacencyGraph[wam, VertexCoordinates -> xy, PlotTheme -> "IndexLabeled", EdgeLabels -> "EdgeWeight", ImageSize -> Large, EdgeShapeFunction -> "CurvedEdge"] 

Update: Add the option

VertexStyle -> Directive[EdgeForm[{Thick, Blue}], LightBlue] 

to color the vertices, and the option

EdgeStyle -> Thread[(DirectedEdge @@@ edges) -> Thread[{Thick, Arrowheads[{-Large, Large}] 

to style edges and add arrow heads at both ends of edges

To render the edges without arrow heads, remove Arrowheads[{-Large, Large}] from Directive[...] and either add the option DirectedEdges -> False or use EdgeShapeFunction -> "CurvedArc":