If you are confident they won't bow between the rafters, you could skip them - I'd use purlins. Will also provide more locations to mechanically fasten to the roofing material.
1) Purlins perpendicular. The roof panel you've chosen has no "flats", so your screws will go thru the lower portion of the "U" directly into the purlin. You've already framed it out, chances are the bottoms of the Us will miss the tops of your existing framing. To save cuts, buy three dog...
1) Why????
Metal roofing is designed and intended to be set upon purlins - increases airflow, allows leak inspection easier, no trapped moisture considerations (so no need for roofing felt, black jack, etc. Saves time and money.
2) As much as you can - particularly if it eliminates cutting...