Installing Overdrive Water Pulley, New Belt Required?

[Fearspect]

I recently had a complete timing belt change done, including a number of upgrade parts (Nismo Thermostat, UR Underdrive Crank Pulley, VTC Springs, Kevlar Timing Belt).

After doing some reading, I realize that I might have goofed up here because I did not install an Overdrive Water Pulley.

I plan on purchasing an UR Overdrive Water Pulley now and putting it in. The timing belt change was done about a month ago. Do I need to cough up the extra $10 for a belt for it, or will the current (shortened) belts still fit it?

Second question: should I be shelling out for the other two pulleys from UR, or do they provide nothing other than cosmetics (Alternator, Power Steering)?

Thanks!