1. Can you provide a citation for the reference?
2. I think cyanoborohydride is typically quenched with dilute NaOH. However, you should not put NaOH on an acidic cationic resin because it will neutralise it. I doubt you could add NaOH(aq) and then extract out your product from your reaction mixture prior to the resin column because it will be very polar. I would need to see the reference, but I suspect they are just loading the crude reaction mixture directly onto the resin, which will generate HCN so be careful and try to find an alternative reducing agent if possible (like triacetoxyborohydride or H2, Pd/C).
3. I've never worked with this specific resin, but I have used Dowex 50W resins for amine purification, which are similar (solid supported sulfonic acid).
i) First suspend the resin in water and decant off any froth or small resin fragments that don't sink (repeat as necessary until there is no more froth or very fine resin fragments). Load the suspension into a column and run off the water to the level of the packed resin.
ii) Carefully add more water with minimum disturbance of the resin and run it down to the level of the resin again. Repeat this until the eluent emerging at the end of the column is neutral. Your resin is now cleaned and ready to use.
iii) Load your mixture onto the column, and run the solvent down to the level of the resin. Now repeat step (ii) until the eluent emerges neutral again.
iv) Carefully add NH3(aq) and run it down to the level of the resin again, repeat. On Dowex, I use 1-2 M NH3(aq). Your amine products will be somewhere in the ammoniacal fractions you obtain in this process. I have no experience with the resin you mentioned, but on Dowex the amine is liberated very quickly and is typically completely removed from the resin after elution with 2-4 column volumes* of NH3(aq). This method of purification separates amines from everything else, but does not separate amines from each other. I suspect the procedure you mention is similar in this respect (but I can't be certain).
*column volume = volume of resin, i.e. if your resin is 5 cm deep, one column volume of eluent is 5 cm deep. Run through one column volume at a time because there will be some diffusion of your amine back into the eluent.