See filter design software, such as what's in RFSim99 or the filter
program at
www.aade.com, for help with the filter. What passband
ripple? How steep a cutoff at the band edges? Do you know how to
convert a low-pass filter to a bandpass? If so, you should be able to
work from tables in filter books. Question for you: is it better to
design it as a bandpass filter, or as a highpass and a lowpass?
Amplifier: you need to supply more specs. HOW low noise? What's the
driving source impedance? What input return loss do you need to
achieve? What gain? What TOI and SOI? What 1dB compression point?
What power supplies are available? Do you have budgets for space,
power, cost? Other constraints?
If it IS a homework assignment, you may well learn more seeking answers
to those other questions than from the original question itself.