Even not being sure of Cueto's future this season(he should be back in a month, but at what level?), I dont think you should let him go for Bumgarner. The Iwakuma/Ryu part of the trade is apples and oranges; they are both coin-flips to have better than average years...with Iwakuma having the edge over Ryu at the moment due to the bad team morale in L.A.
2.) My Latos, Choo for his Price, Ethier
Latos for Price is pretty even in my opinion. I do like Price here, but its the rest of the trade I do not like. Choo is not playing the field like a MLB'er, but is a solid leadoff with high run potential and hidden power. If he loses his starting job (Billy Hamilton?!) it will be because of his glove and not his bat. Ethier is going to play 120 games at best this year, with Mattingly sitting him against lefties throughout the season. These days off can hurt a player like Eithier, that usually get into a groove at the plate and ride it for good numbers over short bursts. Search for someone more productive than Eithier to make up for BA and Runs you're losing with Choo, and the trade could be a go.
1. I wouldn't. Cueto should be back soon, there's always a chance he's not what he was but I don't expect that. A 100% Cueto is worth more than Bamgarner. As the guy above me said Ryu and Iwakuma are both coin flips. I personally like Ryu more but it's not like I'd value him significantly over Iwakuma.
2. I like this trade for you. Choo is on a tear and you have the OF depth to sell him high, even if he stays hot all year (not likely) you're OF will be fine with Ethier (even better if you start only 3/4 OF but fine if you do all 5). Price is an obvious stud and I like him over Latos. For me the difference at the end of year between Price and Latos is more than Choo and Ethier.
12-team 5x5 H2H w/4 keepers
C:Molina 1B: Howard 2B: Altuve 3B: Freese SS: Castro OF:Braun,Kemp,A Jackson Util:C Davis Bench:Victorino,Gardner,Rutledge