2.
That is a good question, to which I say, it depends. how so?
well depends on this new antenna + coax + connector, how well are they matched to the output of RFM. Is this new antenna really 5dBi as it claims? Is it then connected with coax that will not introduce large amount of reflections from antenna back to RFM?
If you know (or test), that you have 5dBi more gain, then yes you will see increase in range.
Maybe first and simple question is, how low is your RRSI, that you feel, that you need higher gain antenna?