Since it never hurts to get some other views on the matter, another reply:
1. Be sure to survey as this will reap some 500 and 1000 bc anomalies.
I often choose the political party with economy bonus + spend some ability points on economy. In addition you can sell some non-military, non-diplomatic techs to the AI. Don't grab too many low quality planets (below 6 or 7). Especially low quality planets in a system where you have the high quality ones, will fall into your hands after some time anyway (your influence will grow and the low quality planets will flip to your side). It's also a good idea to research some early economy techs + governments + some like planetary improvements or population growth that in the end all improve your economy.
Once you've had the first colony rush and grabbed resources, you can build a few traders to gain some more bc's as well as improve your relations with the AI you're trading with.
By the way, you should leave production input at 100%, otherwise you'll lag behind the AI's.
2. Depends a lot on the size of the galaxy. For tiny/small I usually only have 2 planets with starbases; for medium it can be 3-4. To defend from troop raids I would recommend to have a few fast ships with good sensors, and try to intercept troop transports before they can invade. The AI will often send them without support, so they're quite easy to take down if you see them in time.
There is no minimum tech you need to have, but the best way to prevent most AI's from attacking is to have a higher military score (check the graphs in the bottom center of the screen) than the AI's. A building available at the end of the diplomacy tech branch (something control center) helps enormously with that, boosting the military score of one planet by a factor 3 or 4.
It also helps to pay some AI to attack another, weakening them both.
3. Everyone has to choose his own strategy, but I often research first some universtal communicator, planetary improvements, economy, then after that interstellar republic (or more general: governments) before starting technology or military techs. At any point in time, just look at the benefits of any available tech, versus the time it takes to research and your needs at that moment.
4. Really early, just after you've built (and bought) enough colony ships, build & buy constructors to race to the nearest resources. Make it a priority since the gains are important (especially after you've added some more expansions to the starbase, you can easily get a +15% bonus to economy, military,research, etc.)
Though this is a big area for improvement for me as well.
5. I think they do (I'm sure some people on the forum will know this, let's hope they pass by). In any case you should use those 10 points! On higher difficulties it's already hard enough like that

6. Really depends on the strategy. Many people go for all factories or even almost all labs. For my home planet I typically buy 1, build 2 more and speeden up by buying 2-3 turns before they are completed. Afterwards if I need more focus in another area I might convert one of the factories.
For PQ 7-9 you can either go for all labs, or do like me and build 2 factories, then fill the rest with labs. As soon as the labs are completed and the population reached a decent size, I often convert the factories to economy centers if my economy needs a boost. If you're going for an influence victory, go for 1 farm, 2 morale buildings on each PQ 7-9 planet.
By the way, in the Metaverse section of the forums, thread "Metaverse league round 6", have a look at pages 13-15. Some expert players shared some best practices there that allow them to achieve 0 year victories. Several great ideas there!