Adam Eaton is a legit leadoff threat. In over 1300 ABs in the minors, he had a .448 OBP (not a misprint). He hit .348. 180/215 bb/k rate. Steamer projects a .343 OBP and he plays solid enough D in CF. He was hurt in 2013 for AZ. I would not put him down as a question mark.
Conor Gillaspie should be league average if you just let him play 3b vs. Rs. They need to platoon him with a lefty-crusher.
I like Avisail Garcia too. Steamer projects a 106 wRC+.
2B is pretty weak, I agree. But there's still time to add someone - Jed Lowrie, Rickie Weeks, Stephen Drew!, Asdrubal Cabrera, Everth Cabrera, bring back Beckham or maybe trade for one.
C is weak too but it's pretty saucy around the league.
So, I don't see five big question marks, I think it's only 2. Eaton and Gillaspie are solid and maybe you don't believe in Avisail (I do). There's still time to upgrade 2b and C for them and then I think they'll have a pretty nice team. I can't believe the front office rebuilt this team so quickly. They were a shitfest just two years ago.
EDIT: added some more 2b options