In terms of weeks to build a ship makes sense (for a small one) but only 6 weeks to research and develop a new tech? Really? I play on extremely slow long games and one thing I get tired of is setting a production line to find after a few ships I have to change it all because my new tech has made most of those new ships obsolete just during the construction time. It took 5 years for the San Francisco ship yards to build the Enterprise (assuming it was the enterprise Kirk walked by on his way to Starfleet Academy and that he attended about 5 years of course they also built 13 in this time according to TOS) and she was in service for about 15 - 20 years before the NX-2000 Excelsior prototype came out to test the new warp drive (which failed).
One of the things I did like about Sword of the Stars, despite many other things they got wrong, was that often you needed a group of techs to get a thing (usually a thing that makes better ships). So as you play you get certain benefits from the techs you discover (pop, production, wealth, etc...) but it took sometimes 7 techs before you got the new gear for your ships causing you to upgrade and/or rebuild your fleets.
As for feel yeah 1 week is too short, months would be better IMO. Because at warp 1 it will take 5 years to get to the nearest star, that is 260 turns! Even with months that is 60 turns where in GalCiv3 I usually get to the first star in 3 to 4 turns ( I play sparse systems I like the idea of taking a while to get there at first).