Also, with Wesker you can easily put the pressure back on Zero. 
Try practice doing L, M, H -> qcf M -> teleport. Teleport in the direction that you feel will help you the most. 
Take advantage of Wesker's gun -> teleport. Zoning with the gun then teleporting around after really creates problems with a lot of characters. 
With you teleporting around, it will make Zero have to come after you.