Definitely do remote harvesting before advanced shipyards. When the game starts, you don't HAVE a shipyard, so you don't get any benefit from AS until you get your fhirst shipyard done, which takes 24 hours. Since Remote Harvesting and Advnaced shipyards are both 12 hour research (unless a researcher of course), if you do RH first, AS will finish right at the same time as your first shipyard.