Parallel RLC bandpass filter Bandwidth incorrect
I have managed to get the centre frequency to 2500 Hz


If you want equal amplitude cut-off frequencies of 200 Hz and 4800 Hz, the centre frequency you need is 980 Hz. This is calculated as \$\sqrt{200\times 4800}\$ = 979.8 Hz.

That is the centre frequency you need to aim for. 

Also, when you are so asymmetrical with your 3 dB frequencies (relative to Fc) the bandwidth formula you used becomes inappropriate because it relies on both 3 dB points being close to each other. You would probably fair better with a double RC filter given the gulf between 200 Hz and 4800 Hz.