Hi pawel,
Unfortunately the Trimble gpscorrect extension is only available for mgis receivers and not with survey ones.
The only solution in your case is to configure a real time correction with a configurator software and set a real time output correction and output nmea option.
Set in arcpad a standard nmea protocol.
Gps correct will not connect to survey receivers, and even, Trimble gps analyst won't correct any hypothetic files collected with a survey receiver...(see trimble website for more informations)
Hope that helps