Regarding the whole "romance thing", I think the show did itself a disservice by having it. Certainly it's been divisive and while I know there are some fans who like the romance, my impression from things I've seen on the internet is that most fans either don't like it or aren't wild about it.
And so I think the show should have had the Doctor and companion be just friends and then if some people wanted to imagine they were more than that then that's fine. At the same time, those people who didn't want the romance or soap opera elements wouldn't have been annoyed by it.
Also, it would have avoided "quality" dialogue like this:
DOCTOR: No, there's someting I'm missing Martha. Something really close, staring me right in the face and I can't see it. Rose'd know. A friend of mine, Rose. Right now, she'd say exactly the right thing.
Yes, Doctor, because 18-year-old Rose (or however old she's supposed to be) is such a vast fountain of knowledge and wisdom, she always knows what's going on in a situation and always knows exactly the right thing to say. Give me a break!
And then there's the Doctor finishing the dialogue up by being rude to Martha:
DOCTOR: Still, can't be helped. You're a novice, never mind. I'll take you back home tomorrow.
And so I definitely don't think the romance helped the show and actually made it worse in some areas.