Up of course. Especially when the ETF gets approved. It will get covered by the mainstream media basically everywhere in the world. It's positive news that people will see, instead of the negativity that media channels usually tend to spread when it comes to Bitcoin.
Just adapt to the situation by including proper fees, and you won't notice much of a problem.
Transaction times are near-instant. I assume you refer to the confirmation times that may take longer than usual to come through, because people stick to the low fees they have been using since way back. Again, just adapt to the situation by including proper fees.
This has only effect on altcoins "battling" against each other, and not on Bitcoin itself.
At this point only a fake hack (i.e. inside job) of an exchange can get the price to sink that deep.