Now to try and answer your questions

1. live in a c5 definitely, either that or a c4 with c5 and c3( i think thats what they are getting ) static. C5 home would give you access to eventually do cap escalations which is super duper high isk if soloed, c4 would mean easy kspace/highsec entrances and less chance of eviction for being a bear ( doesnt matter if you actually pvp if the right people see a tiny corp they might evict you just for being an easy target )
2. yes and with the possibility of a c3/2/1 second static it will be even better due to easy access to highsec frequently, also if you have a c3 static that can be farmed as well and provide gank opportunities.
3. for 4 ships you need to go tengus or shield RR domi. Tengu would be easiest even though domis would provide more dps, reason is that shield RR domis wont have the control range to not need improved bookmarks which takes extra time in a covops to set up.
4. 3 domis minimum 4 to be safe, tengus probably the same
5. if you have less then 5 people i wouldnt suggest dedicated logi since your dps will be better with spidertank ( and probably still will with 5 )
6. https://www.youtube.com/watch?v=sGfkhyFSAQg fit is in description