Should I fix whole house filter just after the pump?
I would put the filter on the pump outlet. If you put the filter on the inlet it may cause pump cavitation but on the output side the pressure will push the water through with no problem.

Remember that filters on drinking water systems need to be replaced regularly to prevent things from growing. Many times UV systems are added to reduce risk of growth in filter systems. Pre-filters on a pump can be good and bad. If the filter gets plugged it will limit the flow to the pump and shorten the life. I like screen filters to prevent small grit from wearing the pump, but  these may need to be cleaned quite often depending on the size of the filter and amount of water pumped.