I mean.. this is the easiest check ever no?

Also I think turn your sizing is fine. Pot is overkill. I'd go slightly smaller before I went bigger. The bigger you bet overall, the more often your bluffs have to work. Though I'm not sure if $2nl is like lol balance.

River: Your hand is too good to turn into a bluff probably, and no worse will call a bet... soooo......