I am getting some help with improving the OP, but would like to take some time to urge people to suggest or recommend. I would prefer not to get to a point where people are unhappy with the coin for lack of effort. I can do legwork, and even if I disagree with suggestions, its good to have dialogue.
I must say I'm impressed with your communication and commitment so far, so keep that up. This coin reminds me of BitStar which flew under the radar (and well still does to some extent) but has very solid and committed developers, and a good community. Any coin with good fundamentals that builds a community and seeks to constantly improve itself can succeed in the long run.
Giveaways can be a great way to get people interested and excited about your coin, but caution is in order. Again referring to BitStar, learn from some mistakes that were made there. A small pre-mine was used primarily for promotional purposes and for charity (all announced and above board). Anyway they gave away a lot of coins via #IRC, but people started gaming the system to hoard coins, and since they didn't have to do anything but show up to get their coins, most didn't value them, and simply dumped them as soon as an exchange was available. This depressed the price and set the bar low for a long while.
So whatever you do with the giveaway make sure of a few things: 1) People need to do SOMETHING to get the coins 2) That "something" promotes the coin in some way and gets the word out, 3) Try to avoid things where people can easily cheat, 4) If it helps people feel like part of the community that's best.
As for the logo, yeah we need something a lot better. I suggest again that you learn from what's worked well for others here. WhiteCoin did something very smart when looking for a new logo. They created a three round contest, where for the first round anyone could submit an entry and then the community would "vote" by submitting coins to an address for each logo. After a week or so (can't remember the exact time frame) the top three choices were promoted to round 2 and the artists had a chance to refine their artwork if they chose to, and again users voted for the winner by sending coins. After another week the winner becomes the new logo, and all the coins submitted as "votes" for that artwork are then given to the artist as his/her reward. All the coins collected for the non-winning entries are kept and used to fund further promotions/charity and development of the coin. I can't remember the site they used to organize all this, but some google searches should turn it up.
Finally, there is a real opportunity to set Dosh apart from the other crytpnite based coins out there, and that's to develop a good GUI wallet. I know Monero did a contest, and I was never a fan of that because then you have several competing wallets, none of them are that great, and it's just confusing. One of the things that's held back all the cryptonite coins is the lack of a familiar wallet. If you can create a QT based wallet (so that it's cross platform) that works just like (or better!) than all the other coin wallets out there, then you'll get a LOT more users of Dosh. I know that's not easy, but it is a real opportunity. There is a half-way decent QT based wallet for Monero that might be useful as a starting point. It's still pretty buggy, and it doesn't quite nail the interface elements that most Bitcoin/Litecoin based QT wallets have, but it would still be better than starting from scratch I imagine.