I would bet way bigger on the flop, 2/3 potsize. On board like that you want to bet bigger with your strong hands(AK+) and bluffs and check your weaker holdings. I don't like betting 1/3 potsize with whole range here.

So, my line would be, bet big flop(65-70%), bet 30% on the turn and check/minraise river on a blank.

flop is fine
the x/r ott is bad you should continue barreling smaller probably
what do u think that he is gonna with ott ?

Do we bet our entire range on this board otf?

Flopsizing is good. U can mix in some checks because we aren't betting a ton of hands (if you 3bet 15%+).
Betting frequency is about 50% with 1/3 pot preffered.

(I think if u 3bet 10% or less sb vs btn, betting will occur more frequent.)

Turn is a card where u want to check most of your range. For simplicity and not giving up much equity i'd check 100%.
When u start x/raising your straights, your x/calling range becomes vulnerable -> x/call or x/fold turn mostly.

Board pairing rivers are cards you are going to lead on. Bluffs will be some of the two pairs u x/called turn. For example: KQ on KQT A T