Considering
dacount = {{0, 69}, {1, 122}, {2, 98}, {3, 122}, {4, 69}}
ListPlot[dacount, AxesOrigin -> {-1, 0},
PlotMarkers ->Automatic
PlotStyle-> Lighter[Red, #] & /@ Range[0.5, 1, 0.1],
Filling -> Axis, FillingStyle -> Opacity[0.8],
PlotRange -> {{-1, 4.5}, {0, 192}}]

My hope there was for each point to take a different shade of red.
But I can`t understand how to have a style for point which I tried to set as different list.
In your original code, the PlotStyle option won’t affect the marker symbols, so you can leave it out. Instead, change your PlotMarkers option to the following:
This will not yet have the desired effect until you replace the list dacount by:
By increasing the depth of the point list in this way, each point is assigned a marker style of its own from the list in PlotMarkers. So the final code is: