How is a movie marketed and distributed in the film industry?It's not my expertise so I can't dwell into detail, but you can see it for yourself too - mostly via traditional channels, print and billboards, tv and radio trailers, online campaigns.
Could the team size be reduced by more/better technology?
Yes, but not by much! For example 35mm film is now more or less obsolete - average movie is shot on 20:1 ratio (for 90 minutes of running time, 1800 minutes is shot), that shaved off about $100,000 in negatives alone (around $5000 per hour of negative - costs of processing and making copies with film is additional cost). Film equipment can get cheaper. Dollies (like panther) cost around $60,000+ for example, good optics is 250,000 euros etc... Film lights are expensive too, but you need grip crew to operate them. I see opportunity in reducing costs of film equipment, but not so much in crew size.
How much of this work can be outsource to other countries?
It can and is, but as productions shifted from California to other countries those same countries started raising prices over time - so it's not so much as a cost reduction anymore... other countries now compete more on tax incentives than lower salaries (cost of equipment is more or less the same everywhere).