Is it possible to detect signal from SII, Hα, OIII using radio telescope and make the similar images as optic telescope? If no, can we use the different elements to take signal?
Radio telescopes, quite sensibly, observe in the radio band (or more usually the microwave band). All the emission signals you mentioned are in the optical band. SII is $671.6\:\text{nm}$, H$\alpha$ is $656.3\:\text{nm}$, and OIII is $500.7\:\text{nm}$. Radio telescopes are not equipped to observe in these wavelengths. If you would like to observe specific emission lines in the radio regime, you will have to find low energy transitions that emit at the long radio wavelengths. Because the energy emission is so low, this usually means energy transitions between rotational or vibrational states of molecules or else transitions between hyperfine states. A well known example is the Hydrogen 21 cm line. Other common radio wavelength emission lines can be found at this resource.
What minimal reflector radius do I need to have to do it? Can I use reflector from satellite TV?
I'm not sure what you're getting at here. The ability to observe in optical wavelengths isn't a function of the size of your reflector. It depends on your reflector's ability to reflect optical wavelengths and then your receiver's ability to receive optical wavelengths (usually this means using a CCD). A satellite TV dish would not be equipped for such an observation.