Beginning quests for Omni side:
Mr. Blake quest - nice back / helm items. Make sure to have the alcohol with you for the quest turn in. You'll get the additional helmet reward.
I can't find the quest for it, but there is a guy in Omni Trade that will give you armor for rollerrat fleshes. Each flesh is worth 1 piece of armor. All you have to do is ask for the quest and you can keep declining it until you see the reward armor piece of your choice. 6 rollerrat fleshes = a full suit of armor (2 arms, 1 chest, 1 leg, 1 hand, 1 feet). Rollerrat's can be found in missions or outside Omni Entertainment. You can also level around this area to get a few levels, but I suggest working on missions when you have the backpack and armor quests done. The armor / backpack should last you until level 20+ish.
I don't think Clicksaver has been mentioned yet, it's an incredibly useful program used for helping you locate specific missions. Great for trying to find weapons / nano's.