Reading this thread reminds of the good old days when Terry Francona--let alone John Farrell--was personally responsible for every single loss. The players, not the manager, won those two WS. Ditto the one in 2013.
Based on the available evidence--just 4 games--I think Cora has done a pretty good job. Here's what I've seen--
1. 3-1 record, a game up on the Yankees.
2. Great rotation--I think 2 runs in 4 starts and 24 innings.
3. Rotten hitting, except Bogaerts.
4. Scary bullpen. Even Kimbrel had 2 guys on in one of his saves. Kelly and Smith, two seasoned professionals with good stuff, gave up 6 runs in the 8th inning for the 1 loss. Kelly came back and got a save, but one which depended way too much on Denard swinging at a pitch in the dirt which should have been ball four to load the bases in a 1 run game. Walden went 1.1 innings giving up 1 hit and 3 line drives, all of which were caught--scary.
5. So-so baserunning--Holt trying to score and out by at least five steps with the bases loaded (if he holds at 3b), 1 out, and Martinez coming to bat, Bogie doubled off first on a liner to the outfield, Betts picked off, Betts also CS, etc.
6. So-so fielding. The one really good play I remember was Betts chasing down a double to keep the runner on first from scoring the tying run yesterday. The infield has limited range. Vazquez doesn't like blocking pitches in the dirt. However, 0 errors in 4 games, which should count for something.