use the 1n4007 (1000v 1 amp) , the UF diodes in a power rectification position will have more "commutation" hum due to the crisp Ultra Fast response.
uf4005 is 600v 1 amp ultra fast switching diode
and a reading response of 0.001v in a DIODE test is a valid reading, albeit a shorted diode. The diode test response is expressed as volts. Forward volts.
the 1n4002 is too low of a voltage (200v 1 amp) even though a 10e2 is supposedly 200v at 1 amp.
1n4148 is also too low of a voltage AND ALSO too low of a current (Small Signal 100V Io/200mA)
1n5257b is a 33 V, 0.5W zener diode. - totally inappropriate.