I'm sorry to hear that you're having this issue.
You might check the output menu of the DVD player to see if changing the menu output resolution of the player itself might allow the TV to accept the signal through HDMI. Both DVD and VHS is standard, and 480 or under. The television will not support a VCR unless it's upconverted. If your player can send a signal, 480p or 720p are good resolutions to test on. For DVD upconverting, 720p or higher is ideal.
There is an AV input, and it doubles as the component input. If you use the "Y" input and the audio red-and-white cables to the far left, you should be able to use the AV input.
I have a new 1080p Samsung LED LCD TV (UN55B800), with HDMI and component video inputs but no AV(red, yellow and white) input. I tried to connect my VRC and lower-resolution DVD to the TV and got no video signal. The new DVD machine with up-convert feature I have has HDMI cable, and works on my 720p Visio LCD TV, but not on the Samsung. Similarly I have the same problem using the component video connection. The VCR I have is the DVD/VCR combo (GO-Video). It has AV (no AV input on the Samsung TV) and component video. I used the latter, but got no video signal on the TV. I suspect this problem is caused by the 1080p resolution of the TV, since my DVD works with the 720p Visio through HDMI.