Mood:  sharp

Q: How do you get the date and time to display when you show the video you have taken?
The Date and time is set but does not show up when I play back the videos I have shot. — Robert Davis
A: "The data code (date/time or various settings when recorded) are not displayed while recording. However, they are recorded automatically onto tape. To display the data code, press DATA CODE on the Remote Commander during playback (p.47)." —DCRTRV350.pdf manual
The data code information acompanies the data stream when copying with the iLink (FireWire) cable.
Power up in VCR mode and use the infrared remote (RMT-814) key "Data Code". The first press shows date and time, the second press shows f-stop, white balance, shutter speed, gain and other parameters of the recording. The third press returns to hiding the data code information.
http://www.docs.sony.com/release/DCRTRV350.pdf <— get the manual (from http://esupport.sony.com/US/perl/model-home.pl?mdl=DCR-TRV350&region_id=1)
Read Page 47 - Playing back a tape - to display the screen indicators.