When I go to HDM2 to use Roku, HDM2 blinks a few times and then settles on DVl. The background is either normal or a lavender like color. There is no audio. I tried unplugging the TV and removing the Roku stick. It worked one time for a day and not again. Model is 3810X and serial number is YH00G7464850.
I tried my old stick , a 3400 and it worked on channels it still supported.
DVI connections do not support audio, only video.
This sounds like you are using an HDMI port that supports both HDMI an DVI, apparently testing to see which one is connected.
Have you tried the Roku stick in a different (presumably non-DVI) HDMI port?
Edited to add.... Check your TV settings to see if you can disabled DVI on that port.
In addition to what @makaiguy suggested, if you're using the TV's USB port to power it try using the supplied power adapter to avoid the stick having to boot up every time you turn on the TV. Also, if the stick has a "power saving" option under Settings->System->Power, disable it. It's been know to cause problems with the HDMI handshake.