Like most of us I don't enjoy the DH but it's time. I reckon there should be a complete realignment and no more AL/NL with all this too. Other changes seem fine to me though I'm not convinced the shift has any impact (so the deeper numbers say).
Reliever rules are tricky. I think a two batter-minimum might suffice. That way you can't have a one-out-guy, but if a pitcher can't get two guys out you're not forced to leave him in beyond that.
Of course expanding the rosters won't do anything to change relief pitcher specialization, particularly if starting pitchers end up being on the inactive roster some days. I think you'd have to mandate position player/pitcher ratio.
But I also don't think there's anything truly wrong with the game. Or that anybody has any idea who they are fixing the game for when they talk about fixing the game. Old fans? Young fans? Advertisers and TV networks? The trends in attendance and viewership are much bigger than the product on the field and when you get reactive about short-term trends - offense is up, offense is down, too much power, too many strikeouts - there's usually unintended consequences. Most nights, during the season, the games are fine. The playoffs become less watchable because of TV - the commercials, the targeting of casual fans - and the heightened stakes
What's unfortunate is, with the game headed for labor trouble, it's going to be that much harder to also reform between-the-lines stuff. Adding DH and 26 players will be a bone to the players though.