if the old pump worked before,you have done the beeding proceedure,the resivoir is full and the pump is installed correctly..i would think the new pump is bad..it dont seem to build up pressure..
Honda Prelude Accord Civic S2000 2001-2006
Check the reservoir at regular intervals, and add the recommended fluid as necessary. Always use Honda Power Steering Fluid. Using any other type of power steering fluid or automatic transmission fluid can cause increased wear and poor steering in cold weather.
NOTE If the fluid is contaminated, the screen in the reservoir may be partially blocked. Replace the reservoir if necessary.
Fig. Installed view of the power steering pump
Fig. The power steering pump belt must be seated properly in the pulley
Fig. Note the length and position of each pump bolt removed
FIG : Exploded view of the power steering pump and bolt tightening specifications
: Using a belt tension gauge to properly adjust the power steering belt after pump installation CL
: Always measure belt deflection at the longest distance between two pulleys
FIG : Location of typical Honda power steering pump bolt locations
the chances are slim but very possible..sense the new pumps you buy are rebuilt units.....sense it worked before you replaced it,,this is about the only possibility