>       The Problem: When using <BACKSPACE> Key we can see <^H> character, but
the
> character is not clear.
>       When loggin we type vt100, for terminal, and check the enviroment
> (printenv command) and see TERM=vt100, but it's not working properly.

This happens to me all the time when switching from pc3 to xterm to root windows
and back.

stty erase ^H (hit backspace) will remap ^H to erase.
Also, 

tset -e

or 

tset -e^H will work