I would definitely not suggest a new guy try to tighten washerless ivory. Tap tap tap CRACK. That is something you need to be very very careful with. If you want it tightened, I'd recommend finding a restorer, ask them if they can do it and what the chances of breaking are (it's always possible, even if you have done thousands), and decide if you are willing to risk it.

As for the unusual tang, that's something that takes getting used to. Every time you shave with the razor, it should get a little easier. If you have free time and can give it your full attention, practice handling the razor. Personally, I hate thin tangs; I'm not as comfortable with them, but I have learned to shave with them.