D'Nim is displaying Demos all of the respect he has actually earned. But given that the two have yet to fight alongside each other, that isn't exactly a lot.
In all truth, he would much rather be going with Pontus, or even better, wouldn't be serving with the Deathwatch at all.
On a moderately unrelated note, there's a wonderful second meaning in D'Nim's chapter name. (Purely coincidental, but appropriate.)
A jackal, aside from being a form of canid, is a person who performs degrading tasks as the follower of another - and in D'Nim's mind*, that's pretty much exactly what's going to happen.
*Oh look. A palindrome....but a big enough Ork will ruin just about anyone's day.
Certainly could. But there is a pretty good Apothecary going with you, so he can patch up most of the messes people turn themselves into.
As for whether he'll heal the others, the answer is yes. He'll do his job, but that doesn't mean that he's not going to be generally rude, disrespectful and all-round cynical along the way.
But don't assume he'll get any healing perfect though. He is only familiar with his own chapter's "pure" biology.